LCM of 5, 7 and 10 is 70. LCM stands for Least Common Multiple or the Lowest common multiple also known as LCD (Least Common Divisor) is the positive integer that is a common multiple to the given set of numbers. Here the given set of numbers are 5, 7 and 10. The smallest common multiple for all these numbers among many is 70, and hence it is the LCM. You can use the LCM with Examples for more details.
What is LCM of 5, 7 and 10
The Least Common Multiple or Lowest Common Multiple of 5, 7 and 10 is 70.
How to Find LCM of 5, 7 and 10?
LCM of 5, 7 and 10 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 5, 7 and 10 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 5, 7 and 10 can be expressed as;
5 = 5 x 1
7 = 7 x 1
10 = 5 x 2
LCM(5, 7 and 10) = 2 x 5 x 7 = 70
LCM of 5, 7 and 10 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.
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2 |
5 |
7 |
10 |
|
5 |
5 |
7 |
5 |
|
7 |
1 |
7 |
1 |
|
x |
1 |
1 |
1 |
LCM(5, 7 and 10) = 2 x 5 x 7 = 70
LCM of 5, 7 and 10 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 5, 7 and 10
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70….
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77….
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, ….
LCM(5, 7 and 10) = 70
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 5, 7 and 10?
Answer: 70 is the smallest number that is divisible by 5, 7 and 10.
What is the LCM of 2, 5, 7 and 10?
Answer: LCM of 2, 5, 7 and 10 is 70.
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