Question

The sum of HCF and LCM of 45, 60 and 75 i
(A) 330
(B) 960
c 9 15
(D) 630​

Answer 1

Answer:

(c) 915

Step-by-step explanation:

The sum of HCF and LCM of 45, 60 and 75 is 915.

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 75 are: 1, 3, 5, 15, 25, 75

∴ The greatest common factor is 15.

45 = 3 × 3 × 5

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

LCM(45, 60, 75)

= 2 × 2 × 3 × 3 × 5 × 5

= 900

∴ The least common multiple is 900.

The sum of HCF and LCM of 45, 60 and 75 is = 15 + 900 = 915.