Question

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

Answer 1

Explanation:

Hcf of 45. 60.75 will. be.

------. 15

and the lcm will be 900 so we will add the lcm and hcf and we will get 915

Answer 2

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.