Question

1 Find the LCM of the following (i) 920, 940​

Answer 1

Least common multiple can be found by multiplying the highest exponent prime factors of 920 and 940. First we will calculate the prime factors of 920 and 940.

Prime Factorization of 920

2 920

2 460

2 230

5 115

23 23

1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

Prime Factorization of 940

2 940

2 470

5 235

47 47

1

Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 920 and 940.

LCM(920,940) = 23×51×231×471

LCM(920,940) = 43240

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940