Question

find the LCM and HCF of 57 39 85​

Answer 1

Answer:

LCM(57, 39, 85) = 62985

Steps:

Prime factorization of the numbers:

57 = 3 × 19

39 = 3 × 13

85 = 5 × 17

LCM(57, 39, 85)

= 3 × 5 × 13 × 17 × 19

= 62985

GCD(57, 39, 85) = 1

HCF

57

57 divides by 3 57 = 19 x 3

57 = 3 x 19

3, 19 is a prime number, therefore no further factorization is possible, So prime factorization of 57 are: 3 x 19

39

39 divides by 3 39 = 13 x 3

39 = 3 x 13

3, 13 is a prime number, therefore no further factorization is possible, So prime factorization of 39 are: 3 x 13

85

85 divides by 5 85 = 17 x 5

85 = 5 x 17

5, 17 is a prime number, therefore no further factorization is possible, So prime factorization of 85 are: 5 x 17

Answer 2

Answer:

57=3*19

39=3*13

85=5*17

so lcm is 3*5*19*13*17

=62985

and hcf is 1