Question

using prime factorisation.. find the HCF and LCM of

1.. 24,36,40

2.. 30,72,432

3.. 21,28,36,45

please do this question with explanation ​

Answer 1

1.

Prime Factorization of 24 = 2 * 2 * 2 * 3

Prime Factorization of 36 = 2 * 2 * 3 * 3

Prime Factorization of 40 = 2 * 2 * 2 * 5

HCF(24,36,40) = 2 * 2

 

                         = 4

LCM(24,36,40) = 2 * 2 * 2 * 3 * 3 * 5

                         = 360

2.

Prime Factorization of 30 = 2 * 3 * 5

Prime Factorization of 72 = 2 * 2 * 2 * 3 * 3

Prime Factorization of 432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

HCF(30,72, 432) = 2 * 3

                            = 6

LCM(30,72,432) = 2 * 2 * 2 * 2 * 3 * 3 * 3 * 5

                           = 2160

3.

Prime Factorization of 21 = 3 * 7

Prime Factorization of 28 = 2 * 2 * 7

Prime Factorization of 36 = 2 * 2 * 3 * 3

Prime Factorization of 45 = 3 * 3 * 5

HCF(21,28,36,45) = 1

LCM(21,28,36,45) = 3 * 3 * 7 * 2 * 2 * 5

                             = 1260

Hope it helps!