LCM of 56 and 98 is 392. LCM which expands for Least Common Multiple or Lowest Common Multiple is the first positive numeral that is divisible by the given group of numbers. Consider the example for finding the LCM of 56 and 98. The answer is 392. 392 is divisible by both 56 and 98. Even 784 is divisible by 56 and 98, however it is not the LCM for 56 and 98. The smaller number than 784 is 392 which is divisible by both 56 and 98. Hence 392 is the Least Common Multiple for 56 and 98. You can refer to LCM with Examples for better understanding.
What is LCM of 56 and 98
The Least Common Multiple or Lowest Common Multiple of 56 and 98 is 392.
How to Find LCM of 56 and 98?
LCM of 56 and 98 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 56 and 98 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 56 and 98 can be expressed as;
56 = 2 × 2 × 2 × 7
98 = 2 × 7 × 7
Here 2 × 7 is a common factor for both and this is multiplied by other prime factors to get the LCM.
LCM (56, 98) = 2 × 2 × 2 × 7 × 7 = 392
LCM of 56 and 98 Using Division Method
In the Division Method, the numbers 56 and 98 are divided by prime factors. Once the remainders are 1, then the prime divisors are multiplied to get the LCM.
|
2 |
56 |
98 |
|
2 |
28 |
49 |
|
2 |
14 |
49 |
|
7 |
7 |
49 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
LCM (56, 98) = 2 × 2 × 2 × 7 × 7 = 392
LCM of 56 and 98 Using Listing the Multiples
By listing all the multiples 56 and 98, we can identify the smallest common multiple, which is the LCM. Below is the list of multiples for 56 and 98
|
Multiples of 56 |
Multiples of 98 |
|
56 |
98 |
|
112 |
196 |
|
168 |
294 |
|
224 |
392 |
|
280 |
490 |
|
336 |
588 |
|
392 |
686 |
LCM (56, 98) = 392
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 56 and 98?
Answer: 392 is the smallest number that is divisible by both 56 and 98.
What is the LCM of 2, 7, 56 and 98?
Answer: The LCM of 2, 7, 56 and 98 is 392 as 7 is the factor of 56 and 2 is the factor of both 56 and 98.
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