LCM of 49 and 13

LCM of 49 and 13 is 637. LCM also known as Least Common multiple or Lowest common multiple is the smallest or the least positive integer that is divisible by the given set of numbers. Consider the example for finding the LCM of 49 and 13. 637 is divisible by both 49 and 13 and it is the smallest common among the many common multiples. LCM is also called LCD, Least Common Divisor. You can refer to HCF and LCM to understand the difference. 

What is LCM of 49 and 13

The Least Common Multiple or Lowest Common Multiple of 49 and 13 is 637.

Lcm Of 49 And 13

How to Find LCM of 49 and 13?

LCM of 49 and 13 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 49 and 13 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 49 and 13 can be expressed as:

49 = 7 × 7 

13 = 13 × 1

LCM (49, 13) = 7 × 7 × 13 = 637

LCM of 49 and 13 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. 

7

13

49

7

13

7

13

13

1

×

1

1

Hence, LCM (49, 13) = 7 × 7 × 13 = 637

LCM of 49 and 13 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 49 and 13

Multiples of 13:

13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221, 234, 247, 260, 273, 286, 299, 312, 325, 338, 351, 364, 377, 390, 403, 416, 429, 442, 455, 468, 481, 494, 507, 520, 533, 546, 559, 572, 585, 598, 611, 624, 637, 650, 663

Multiples of 49:

49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735

LCM (49, 13) = 637

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 49 and 13?

Answer: 637 is the smallest number that is divisible by both 49 and 13. 

What is the LCM for 7, 49 and 13? 

Answer: LCM for 7, 49 and 13 is 637 as 7 is the prime factor of 49.

Frequently Asked Questions on LCM of 49 and 13

Q1

What is the LCM of 49 and 13?

The LCM of 49 and 13 is 637.
Q2

Is the LCM of 49 and 13 same as the LCM of 13 and 637?

Yes. Least Common Multiple of 49 and 13 is 637 and Least Common Multiple of 13 and 637 is also 637.
Q3

Is the LCM and LCD both the same for 49 and 13?

Yes. The Least Common Multiple and Least Common Divisor are both the same for 49 and 13 which is 637.
Q4

What are the 3 common multiples of 49 and 13?

The three common multiples of 49 and 13 are 637, 1274, and 1911.
Q5

Is the LCM of 7 and 49 same as the LCM of 13 and 39?

No. LCM of 7 and 49 is 49, whereas the LCM of 13 and 39 is 39. They are not the same.

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