LCM of 37 and 49 is 1813. The smallest evenly divisible number among the multiples will help you get the value of LCM. By checking the multiples, you can easily find the least common multiple of 37 and 49. (37, 74, 111, 148, ….) and (49, 98, 147, 196, 245, 294,….) are the multiples of 37 and 49. The LCM of 37 and 49 using the prime factorisation method, division method and by listing out the multiples are explained in depth in this article.
Also read: Least common multiple
What is LCM of 37 and 49?
The answer to this question is 1813. The LCM of 37 and 49 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 37 and 49, is the smallest positive integer 1813 which is divisible by both 37 and 49 with no remainder.
How to Find LCM of 37 and 49?
LCM of 37 and 49 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 37 and 49 Using Prime Factorisation Method
The prime factorisation of 37 and 49, respectively, is given by:
37 = 37 = 37¹
49 = 7 x 7 = 7²
LCM (37, 49) = 1813
LCM of 37 and 49 Using Division Method
We’ll divide the numbers (37, 49) by their prime factors to get the LCM of 37 and 49 using the division method (preferably common). The LCM of 37 and 49 is calculated by multiplying these divisors.
|
7 |
37 |
49 |
|
7 |
37 |
7 |
|
37 |
37 |
1 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (37, 49) = 1813
LCM of 37 and 49 Using Listing the Multiples
To calculate the LCM of 37 and 49 by listing out the common multiples, list the multiples as shown below
Multiples of 37 = 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, . . . ., 1739, 1776, 1813, . . . .
Multiples of 49 = 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, . . . ., 1617, 1666, 1715, 1764, 1813, . . . .
LCM (37, 49) = 1813
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LCM of 37 and 49 Solved Examples
Question: Among the numbers given, find the LCM of 37 and 49.
20, 10, 32, 1813
Solution:
The LCM value is the smallest common multiple of 37 and 49
The number which satisfies this condition is 1813
Hence, the LCM is 1813.
Frequently Asked Questions on LCM of 37 and 49
What is the LCM of 37 and 49?
List the methods used to get the LCM of 37 and 49.
Using the prime factorisation method, calculate the LCM of 37 and 49.
Using the prime factorisation method
37 = 37 = 37¹
49 = 7 x 7 = 7²
Therefore, the LCM is 1813.
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