Question

12, 18 and 24,Find LCM by giving multiple.

Answer 1

Answer: 72

Step-by-step explanation:

Resolve the numbers into

product of prime

12 = 2 × 2 × 3 = 2² × 3¹

18 = 2 × 3 × 3 = 2¹ × 3²

24 = 2 × 2 × 2 × 3 = 2³ × 3¹

LCM of 12 , 18 and 24 = product

of the greatest power of

each prime factors of the numbers

= 2³ × 3²

= 8 × 9

= 72

••••

Answer 2

Answer:

72

Step-by-step explanation:

Prime factorization of 12 = 2 * 2 * 3

Prime factorization of 18 = 2 * 3 * 3

Prime factorization of 24 = 2 * 2 * 2 * 3.

There is one 2 in 12,18 and two 2's in 24, we need to have two 2's(2*2*2).

There is one 3 in 12,24 and two 3's in 18, we need to have two 3's(3 * 3).

Hence 2 * 2 * 2 and 3 * 3 need to be multiplied together to produce LCM.

LCM(12,18,24) = 2 * 2 * 2 * 3 * 3

                       = 72.

Therefore, LCM of 12,18,24 = 72.

Hope this helps!