LCM of 96 and 404 is 9696. 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 96 and 404, 9696 is the first(least or smallest) number that is common in the set of multiples of 96 and 404. LCM for 96 and 404 or LCM of 404 and 96 is the same and it is 9696. The LCM is also known as LCD, Least Common Divisor for 96 and 404 is 9696. You can read more on LCM for further details.
What is LCM of 96 and 404
The Least Common Multiple or Lowest Common Multiple of 96 and 404 is 9696.
How to Find LCM of 96 and 404?
LCM of 96 and 404 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 96 and 404 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 96 and 404 can be expressed as;
96 = 2 x 2 x 2 x 2 x 2 x 3
404 = 2 x 2 x 101
LCM (96, 404) = 2 x 2 x 2 x 2 x 2 x 3 x 101 = 9696
LCM of 96 and 404 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 |
96 |
404 |
|
2 |
48 |
202 |
|
2 |
24 |
101 |
|
2 |
12 |
101 |
|
2 |
6 |
101 |
|
3 |
3 |
101 |
|
101 |
1 |
101 |
|
x |
1 |
1 |
LCM (96, 404) = 2 x 2 x 2 x 2 x 2 x 3 x 101 = 9696
LCM of 96 and 404 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 96 and 404
Multiples of 96: 96, 192, 288, 384, …, 4416, 4512, 4608, 4704, 4800,….5184, 5280, …, 9216, 9312, 9408, 9504, 9600, 9696, 9792
Multiples of 404: 404, 808, 1212, …. 3232, 3636, 4040, 4444, 4848, …., 6868, 7272, 7676, 8080, 8484, 8888, 9292, 9696, 10100
LCM (96, 404) = 9696
Related Articles
Video Lesson on Applications of LCM
Solved Examples
- What is the smallest number that is divisible by both 96 and 404?
Answer: 9696 is the smallest number that is divisible by both 96 and 404.
2. What is the LCM for 404 and 96?
Answer: LCM for 404 and 96 is 9696.
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