LCM of 16, 28 and 40 is 560. LCM, Least Common Multiple or the Lowest Common Multiple also referred to as LCD, Least Common Divisor is the number that is a common multiple to the given set of numbers. Here the given set of numbers are 16, 28 and 40. The smallest common multiple for all these numbers among many is 560, and hence it is the LCM. You can refer to the LCM with Examples to understand more about LCM.
What is LCM of 16, 28 and 40
The Least Common Multiple or Lowest Common Multiple of 16, 28 and 40 is 560.
How to Find LCM of 16, 28 and 40?
LCM of 16, 28 and 40 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16, 28 and 40 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 16, 28 and 40 can be expressed as;
16 = 2 × 2 × 2 × 2
28 = 2 × 2 × 7
40 = 2 × 2 × 2 × 5
2 × 2 is the common factor for all 3 numbers, which is multiplied with other factors to get the LCM.
LCM(16, 28 and 40) = 2 × 2 × 2 × 2 × 5 × 7 = 560
LCM of 16, 28 and 40 Using Division Method
In the Division Method, the numbers 16, 28 and 40 are divided together with common prime factors. The division is continued with other factors until the remainders are one. The product of all the prime divisors forms the LCM.
|
2 |
16 |
28 |
40 |
|
2 |
8 |
14 |
20 |
|
2 |
4 |
7 |
10 |
|
2 |
2 |
7 |
5 |
|
5 |
1 |
7 |
5 |
|
7 |
1 |
7 |
1 |
|
× |
1 |
1 |
1 |
LCM(16, 28 and 40) = 2 × 2 × 2 × 2 × 5 × 7 = 560
LCM of 16, 28 and 40 Using Listing the Multiples
By listing all the multiples of 16, 28 and 40, we can identify the least common multiple, which is the LCM. Below is the list of multiples for 16, 28 and 40
Multiples of 16
16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592
Multiples of 28
28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616
Multiples of 40
40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640
LCM(16, 28 and 40) = 560
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 16, 28 and 40?
Answer: 560 is the smallest number that is divisible by 16, 28 and 40.
What is the LCM of 4, 8, 16, 28 and 40?
Answer: LCM of 4, 8, 16, 28 and 40 is 560 as 4 is the factor of 16, 28 and 40 while 8 is a factor of 16 and 40.
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