LCM of 36 48 and 72

LCM of 36, 48 and 72 is 144. The Least Common Divisor (LCD) , almost always known as Least Common Multiple or Lowest Common Multiple (LCM) , is the smallest positive number that is divisible by the given numbers. In the given set of numbers 36, 48 and 72, 144 is the first(least or smallest) number that is common in the set of multiples of 36, 48 and 72. You can refer to Multiples.

What is LCM of 36, 48 and 72

The Least Common Multiple or Lowest Common Multiple of 36, 48 and 72 is 144.

How to Find LCM of 36, 48 and 72?

LCM of 36, 48 and 72 can be determined using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 36, 48 and 72 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers 36, 48 and 72 can be expressed as;

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

72 = 2 × 2 × 2 × 3 × 3 

By multiplying the common and other prime factors of 36, 48 and 72, we get the LCM.

LCM (36, 48, 72) = 2 × 2 × 2 × 2 × 3 × 3 = 144

LCM of 36, 48 and 72 Using Division Method

In the Division Method, the given set of numbers 36, 48 and 72, are divided by prime numbers starting with the smallest divisible prime number. Once remainder is one for all the numbers, the division is complete and the product of the prime divisors is the LCM. 

LCM (36, 48, 72) = 2 × 2 × 2 × 2 × 3 × 3 = 144

LCM of 36, 48 and 72 Using Listing the Multiples

By listing all the multiples of 36, 48 and 72, we can pick the smallest common multiple, which is the LCM. Below is the list of multiples for 36, 48 and 72

LCM (36, 48, 72) = 144

Related Articles

• LCM
• LCM Calculator
• LCM Formula
• LCM with Examples
• HCF and LCM
• Prime Factorization and Division method

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 36, 48 and 72?

Answer: 144 is the smallest number that is divisible by both 36, 48 and 72. 

What is the LCM for 12, 36, 48 and 72? 

Answer: LCM for 12, 36, 48 and 72 is 144.