Question

4. Find the LCM of the following numbers using prime factors:

6, 15 and 40

32,48,72

20,30,150

Answer 1

The least common multiple of 6, 15 and 40 is 120.

The least common multiple of 32, 48 and 72 is 288.

The LCM of 20 and 24 is 120.

The LCM of 30 and 90 is 90.

The LCM of 150 is 900.

Explanation:

Steps to find LCM

• Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
• Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
• LCM = 2 × 2 × 3 × 3 × 5 × 5.
• LCM = 900.