Question

2) Find the LCM of the following:

i) 216, 144, 504​

Answer 1

Step-by-step explanation:

Answer:- i) LCM of 212 and 216 is 11448.

              ii)Find the prime factorization of 144. 144 = 2 × 2 × 2 × 2 × 3 × 3.

               Find the prime factorization of 270. 270 = 2 × 3 × 3 × 3 × 5.

 Multiply each factor the greater number of times it occurs in steps i)                 or ii) above to find the LCM: LCM = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5.

          LCM = 2160.

        iii)Find the prime factorization of 504

504 = 2 × 2 × 2 × 3 × 3 × 7

Find the prime factorization of 540

540 = 2 × 2 × 3 × 3 × 3 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7

LCM = 7560

here you go dear!!!