Question

7. Find the L.C.M of 24,15 and 16​

Answer 1

240

Explanation:

Step 1 : Prime factorize the given terms.

• 24 = 3 x 8 = 3 x 2³
• 15 = 3 x 5
• 16 = 4 x 4 = 2⁴

Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.

⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5

⇒ LCM = 16 x 15

⇒ LCM = 240