LCM of 56 and 72

LCM of 56 and 72 is 504. LCM is 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 56 and 72. The answer is 504. 504 is divisible by both 56 and 72. Even if 1008 is divisible by 56 and 72, however, it is not the LCM for 56 and 72. The smaller number than 144 is 504 which is divisible by both 56 and 72. Hence 504 is the Least Common Multiple for 56 and 72. You can refer to LCM with Examples for better understanding.

What is LCM of 56 and 72

The Least Common Multiple or Lowest Common Multiple of 56 and 72 is 504.

lcm of 56 and 72

How to Find LCM of 56 and 72?

LCM of 56 and 72 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 56 and 72 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 56 and 72 can be expressed as;

56 = 2 × 2 × 2 × 7

72 = 2 × 2 × 2 × 3 × 3 

LCM (56, 72) = 2 × 2 × 2 × 3 × 3 × 7 = 504

LCM of 56 and 72 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

56

72

2

28

36

2

14

18

3

7

9

3

7

3

7

7

1

x

1

1

LCM (56, 72) = 2 × 2 × 2 × 3 × 3 × 7 = 504

LCM of 56 and 72 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 56 and 72

Multiples of 56:

56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616….

Multiples of 72: 

72, 144, 216, 288, 360, 432, 504, 576, 648…

LCM (56, 72) = 504

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 56 and 72?

Answer: 504 is the smallest number that is divisible by both 56 and 72. 

What is the LCM of 2, 4, 56 and 72?

Answer: The LCM of 2, 4, 56 and 72 is 504 as 2 and 4 are both factors of 56 and 72 .

Frequently Asked Questions on LCM of 56 and 72

Q1

What is the LCM of 56 and 72?

The LCM of 56 and 72 is 504.
Q2

Is the LCM of 56 and 72 the same as the LCM of 4 and 504?

Yes. LCM of 56 and 72 is 504 and LCM of 4 and 504 is also 504. They are the same.
Q3

Is the LCM and LCD both the same for 56 and 72?

Yes. The LCM and Lowest Common Divisor are both the same for 56 and 72 which is 504.
Q4

What are the first 3 common multiples of 56 and 72?

The first three common multiples of 56 and 72 are 506, 1008, and 1512.
Q5

Is the LCM of 7 and 56 the same as the LCM of 7 and 72?

No. LCM of 7 and 56 is 56, whereas the LCM of 7 and 72 is 288. They are not the same.

Comments

Leave a Comment

Your Mobile number and Email id will not be published.

*

*