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