Question

hcf and lcm of 114 , 800 and 480​

Answer 1

The LCM :

The prime factorization of 114 is = 2 x 3 x 19

The prime factorization of 480 is = 2 × 2 × 2 × 2 × 2 × 3 × 5  

The prime factorization of 800 is  = 2 × 2 × 2 × 2 × 2 × 5 × 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 × 2 × 3 × 5 × 5

LCM = 2400

The HCF :

The prime factorization of 114  is = 2 × 3 × 19

The prime factorization of 480 is = 2 × 2 × 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3

GCF = 6