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Two numbers are in the ratio 3:4, and their HCF is 5. Find their LCM.
Question

Two numbers are in the ratio 3:4, and their HCF is 5. Find their LCM.

A.

62

B.

60

C.

48

D.

58

Correct option is B

Given:
Numbers are in ratio 3:4
HCF = 5
Formula Used:
Numbers = 3k and 4k3k \text{ and } 4k​​
LCM =Product of numbersHCF \frac{Product \text{ of numbers}}{HCF}​​
Solution:
Numbers =3×5=15 and 4×5=20 3 \times 5 = 15 \text{ and } 4 \times 5 = 20​​
LCM =15×205 \frac{15 \times 20}{5}​​
LCM = 60
Therefore, the LCM is 60.

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