LCM of 24, 36, 44 and 62 is 24552. 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 24552, and hence it is the LCM. You can use the HCF and LCM for reference.
What is LCM of 24, 36, 44 and 62
The Least Common Multiple or Lowest Common Multiple of 24, 36, 44 and 62 is 24552.
How to Find LCM of 24, 36, 44 and 62?
LCM of 24, 36, 44 and 62 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 24, 36, 44 and 62 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 24, 36, 44 and 62 can be expressed as;
24 = 2 x 2 x 2 x 3
36 = 2 x 2 x 3 x 3
44 = 2 x 2 x 11
62 = 2 x 31
LCM (24, 36, 44, 62) = 2 x 2 x 2 x 3 x 3 x 11 x 31 = 24552
LCM of 24, 36, 44 and 62 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 |
24 |
36 |
44 |
62 |
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2 |
12 |
18 |
22 |
31 |
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3 |
6 |
9 |
11 |
31 |
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2 |
2 |
3 |
11 |
31 |
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3 |
1 |
3 |
11 |
31 |
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11 |
1 |
1 |
11 |
31 |
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31 |
1 |
1 |
1 |
31 |
|
x |
1 |
1 |
1 |
1 |
LCM (24, 36, 44, 62) = 2 x 2 x 2 x 3 x 3 x 11 x 31 = 24552
LCM of 24, 36, 44 and 62 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 24, 36, 44 and 62
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, …, 12168, 12192, 12216, 12240, 12264, 12288, 12312, 12336, 12360, 12384, …, 24432, 24456, 24480, 24504, 24528, 24552, 24576, 24600, 24624, 24648 …
Multiples of 36:
36, 72, 108, 144, 180, 216, 252, 288, 324, …, 12096, 12132, 12168, 12204, 12240, 12276, 12312, 12348, 12384, 12420, …, 24372, 24408, 24444, 24480, 24516, 24552, 24588, 24624, 24660, 24696 …
Multiples of 44:
44, 88, 132, 176, 220, 264, 308, 352, 396, …, 12056, 12100, 12144, 12188, 12232, 12276, 12320, 12364, 12408, 12452, …, 24332, 24376, 24420, 24464, 24508, 24552, 24596, 24640, 24684, 24728 …
Multiples of 62:
62, 124, 186, 248, 310, 372, 434, 496, 558, …, 11966, 12028, 12090, 12152, 12214, 12276, 12338, 12400, 12462, 12524, …, 24242, 24304, 24366, 24428, 24490, 24552, 24614, 24676, 24738, 24800 …
LCM (24, 36, 44, 62) = 24552
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by 24, 36, 44 and 62?
Answer: 24552 is the smallest number that is divisible by 24, 36, 44 and 62.
What is the LCM of 6,12, 24, 36, 44 and 62?
Answer: LCM of 6,12, 24, 36, 44 and 62 is 24552.
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