LCM of 10, 20 and 25 is 100. The Least Common multiple or Lowest common multiple simply known as LCM, is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 10, 20 and 25, 100 is the first(least or smallest) number that is common in the set of multiples of 10, 20 and 25. The LCM, also known as LCD, Least Common Divisor for 10, 20 and 25 is 100. You can refer to the HCF and LCM to understand the difference between HCF and LCM.
What is LCM of 10, 20 and 25
The Least Common Multiple or Lowest Common Multiple of 10, 20 and 25 is 100.
How to Find LCM of 10, 20 and 25?
LCM of 10, 20 and 25 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 10, 20 and 25 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 10, 20 and 25 can be expressed as;
10 = 2 × 5
20 = 2 × 2 × 5
25 = 5 × 5
LCM (10, 20, 25) = 2 × 2 × 5 × 5 = 100
LCM of 10, 20 and 25 Using Division Method
In the Division Method, the given set of numbers 10, 20 and 25 are divided by prime divisors. 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 |
10 |
20 |
25 |
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2 |
5 |
10 |
25 |
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5 |
5 |
5 |
25 |
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5 |
1 |
1 |
5 |
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× |
1 |
1 |
1 |
LCM (10, 20, 25) = 2 × 2 × 5 × 5 = 100
LCM of 10, 20 and 25 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 10, 20 and 25
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110…
Multiples of 20:
20, 40, 60, 80, 100, 120, 140….
Multiples of 25:
25, 50, 75, 100, 125, 150, …
LCM (10, 20, 25) = 100
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 10, 20 and 25?
Answer: 100 is the smallest number that is divisible by 10, 20 and 25.
What is the LCM for 5, 10, 20 and 25?
Answer: LCM for 5, 10, 20 and 25 is 100.
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