LCM of 7 and 35 is 35. LCM, also known as Least Common multiple or Lowest common multiple, is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 7 and 35, 35 is the smallest number that is divisible by both 7 and 35. Therefore the LCM or LCD, also known as the Least Common divisor for 7 and 35, is 35. You can refer to LCM for more information.
What is LCM of 7 and 35
The Least Common Multiple or Lowest Common Multiple of 7 and 35 is 35.
How to Find LCM of 7 and 35?
LCM of 7 and 35 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 35 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 35 can be expressed as;
7 = 1 x 7
35 = 5 x 7
LCM (7, 35) = 5 x 7 = 35
LCM of 7 and 35 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all until no further division is possible or only when prime numbers are left.
Hence, LCM (7, 35) = 5 x 7 = 35
LCM of 7 and 35 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 7 and 35.
Multiples of 7 | Multiples of 35 |
7 | 35 |
14 | 70 |
21 | 105 |
28 | 140 |
35 | 175 |
42 | 210 |
LCM (7, 35) = 35
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 7 and 35?
Answer: 35 is the smallest number that is divisible by both 7 and 35.
Is 35 a multiple of 7 and 35?
Answer: Yes. 35 is a multiple of 7 and 35.
Frequently Asked Questions on LCM of 7 and 35
Q1
What is the LCM of 7 and 35?
The LCM of 7 and 35 is 35.
Q2
Is the LCM of 7 and 35 the same as the Highest Common Factor of 35 and 7?
No. LCM of 7 and 35 is 35 and Highest Common Factor of 35 and 7 is 7.
Q3
What are the common prime factors of 7 and 35?
The common prime factor of 7 and 35 is 7.
FAQs
In the given set of numbers 7 and 35, 35 is the smallest number that is divisible by both 7 and 35. Therefore the LCM or LCD, also known as the Least Common divisor for 7 and 35, is 35.
How to find LCM of 7 and 35? ›
The LCM of 7 and 35 is 35. To find the LCM of 7 and 35, we need to find the multiples of 7 and 35 (multiples of 7 = 7, 14, 21, 28 . . . . 35; multiples of 35 = 35, 70, 105, 140) and choose the smallest multiple that is exactly divisible by 7 and 35, i.e., 35.
How to find LCM of two numbers? ›
Therefore, the formula to find LCM of two numbers is, LCM of two numbers = product of two numbers ÷ HCF of two numbers. Note: The LCM of two co-prime numbers is equal to the product of co-prime numbers because the highest common factor of prime numbers is 1.
What goes into 35 and 7? ›
The factors of 7 and 35 are 1, 7 and 1, 5, 7, 35 respectively.
How to find HCF of 7 and 35? ›
The factors of 35 are 35, 7, 5, 1. The common factors of 7 and 35 are 7, 1, intersecting the two sets above. In the intersection factors of 7 ∩ factors of 35 the greatest element is 7. Therefore, the greatest common factor of 7 and 35 is 7.
Why is 35 the LCM of 7 and 5? ›
How to find the LCM of 5 and 7 by listing multiples? Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40… Multiples of 7 = 7, 14, 21, 28, 35, 42, 49… Therefore the least common multiple of 5 and 7 is 35.
What is the LCM calculator? ›
What Is an LCM Calculator? LCM calculator helps to determine the LCM of two or more given numbers. The LCM of two or more numbers is the smallest value that is completely divisible by each of the given numbers. To use the LCM calculator, enter the numbers, within brackets, separated by commas in the input box.
How to find the LCM step by step? ›
Step 1: Finding each number's prime factorization is the first step in computing the LCM using the prime factors approach. Step 2: When you write each number as a product of primes. Step 3: Now take the highest power of each prime number. Step 4: To obtain the LCM, multiply the prime numbers.
Can 35 be divided by 7? ›
7 times 5 is 35. Therefore, 35 divided by 7 is 5.
How many times does 7 fit into 35? ›
And if we know that five times seven equals 35, we also know that the number of sevens that there are in 35 is five.
∴ 5/7 of 35 is 25.
What is the HCF of 8 upon 11 10 upon 13 and 4 upon 5? ›
Numerator HCF: The numerators are 8, 10, and 4. The HCF of these numbers is 2. Denominator HCF: The denominators are 11, 13, and 5. The HCF of these numbers is 1.
Is 35 a prime number or not? ›
No, 35 is not a prime number. The number 35 is divisible by 1, 5, 7, 35. For a number to be classified as a prime number, it should have exactly two factors. Since 35 has more than two factors, i.e. 1, 5, 7, 35, it is not a prime number.
Is 35 a factor of 5? ›
The greatest number that divides 5 and 35 exactly is their greatest common factor, i.e. GCF of 5 and 35. ⇒ Factors of 5 and 35: Factors of 5 = 1, 5. Factors of 35 = 1, 5, 7, 35.
How do you find the LCM of each set of numbers? ›
Step 1: Find the prime factors of the given numbers by repeated division method. Step 2: Write the numbers in their exponent form. Find the product of only those prime factors that have the highest power. Step 3: The product of these factors with the highest powers is the LCM of the given numbers.
How to work out LCM? ›
Find the LCM by listing multiples.
- List the first several multiples of each number.
- Look for multiples common to both lists. If there are no common multiples in the lists, write out additional multiples for each number.
- Look for the smallest number that is common to both lists.
- This number is the LCM.
Once you do find a match, or several matches, the smallest of these matches would be the Least Common Multiple. For instance, the first matching multiple(s) of 36 and 7 are 252, 504, 756. Because 252 is the smallest, it is the least common multiple. The LCM of 36 and 7 is 252.
How to find LCM by division method? ›
To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factors is the LCM of given numbers.
