LCM of 40 and 56 is 280. 280 is the smallest/least/first multiple that is common to both 40 and 56. The Least Common Multiple or Lowest Common Multiple known as LCM is the smallest integer that is divisible by the given set of numbers. There are other common multiples out of which 280 is the smallest. The LCM is also referred to as LCD, Least Common Divisor for 40 and 56 is 280. You can read more on LCM for further details.
What is LCM of 40 and 56
The Least Common Multiple or Lowest Common Multiple of 40 and 56 is 280.
How to Find LCM of 40 and 56?
LCM of 40 and 56 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 40 and 56 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 40 and 56 can be expressed as;
40 = 2 x 2 x 2 x 5
56 = 2 x 2 x 2 x 7
2 x 2 x 2 is the common factor for both 40 and 56. This is multiplied by the other factors of 40 and 56 to get the LCM.
LCM (40, 56) = 2 x 2 x 2 x 5 x 7 = 280
LCM of 40 and 56 Using Division Method
In the Division Method, 40 and 56 are divided together by the same prime divisors. The division is considered complete when the remainder is 1. Product of the prime divisors, forms the LCM
|
2 |
40 |
56 |
|
2 |
20 |
28 |
|
2 |
10 |
14 |
|
5 |
5 |
7 |
|
7 |
1 |
7 |
|
x |
1 |
1 |
LCM (40, 56) = 2 x 2 x 2 x 5 x 7 = 280
LCM of 40 and 56 Using Listing the Multiples
By listing all the multiples of 40 and 56, we can identify the LCM. Below is the list of multiples for 40 and 56
Multiples of 40:
40, 80, 120, 160, 200, 240, 280, 320, 360…
Multiples of 56:
56, 112, 168, 224, 280, 336, 392…
LCM (40, 56) = 280
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 40 and 56?
Answer: 280 is the smallest number that is divisible by both 40 and 56.
What is the LCM for 2, 4, 40 and 56?
Answer: LCM for 2, 4, 40 and 56 is 280 as 2 and 4 are the factors of 40 and 56.
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