Question

Given that HCF(300,135) = 15 , find LCM(300,135). a) 2700 b) 1200 c) 400 d) None of these

Answer 1

Answer:

The answer is 2700

Step-by-step explanation:

As,

   Find the prime factorization of 300

   300 = 2 × 2 × 3 × 5 × 5

   Find the prime factorization of 135

   135 = 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 × 3 × 3 × 3 × 5 × 5

   LCM = 2700