LCM of 16, 28, 40 and 77 is 6160. 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 28, 36, 45 and 60. The smallest common multiple for all these numbers among many is 6160, and hence it is the LCM. You can refer to the LCM with Examples.
What is LCM of 16, 28, 40 and 77
The Least Common Multiple or Lowest Common Multiple of 16, 28, 40 and 77 is 6160.
How to Find LCM of 16, 28, 40 and 77?
LCM of 16, 28, 40 and 77 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16, 28, 40 and 77 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 16, 28, 40 and 77 can be expressed as;
16 = 2 x 2 x 2 x 2
28 = 2 x 2 x 7
40 = 2 x 2 x 2 x 5
77 = 7 x 11
LCM (16, 28, 40, 77) = 2 x 2 x 2 x 2 x 5 x 7 x 11 = 6160
LCM of 16, 28, 40 and 77 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.
|
2 |
16 |
28 |
40 |
77 |
|
2 |
8 |
14 |
20 |
77 |
|
2 |
4 |
7 |
10 |
77 |
|
7 |
2 |
7 |
5 |
77 |
|
2 |
2 |
1 |
5 |
11 |
|
5 |
1 |
1 |
5 |
11 |
|
11 |
1 |
1 |
1 |
11 |
|
x |
1 |
1 |
1 |
1 |
No further division can be done as only prime numbers are left out.
LCM (16, 28, 40, 77) = 2 x 2 x 2 x 2 x 5 x 7 x 11 = 6160
LCM of 16, 28, 40 and 77 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 16, 28, 40 and 77
Multiples of 16: 16, 32, 48, 64, 80, …, 3008, 3024, 3040,….,3120, 3136, 3152, …, 6080, 6096, ….6144, 6160, 6176, 6192, 6208, 6224 …
Multiples of 28: 36, 72, 108, 144,….684, 720, 756,.., 1152, 1188,.. 441, 6160, 1296, 1332 …
Multiples of 40: 45, 90, 135, …., 945, 990, 1035…,441, 1215, 6160, 1305..
Multiples of 77: 60, 120, 180…720, 780, 840,…440, 1200, 6160, 1320…
LCM (16, 28, 40, 77) = 6160
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 16, 28, 40 and 77?
Answer: 6160 is the smallest number that is divisible by 16, 28, 40 and 77.
What is the LCM of 28 and 16?
Answer: LCM of 28 and 16 is 112.
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