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The ratio of two numbers is 4 : 5 and their HCF is 3. Their LCM is:
Question

The ratio of two numbers is 4 : 5 and their HCF is 3. Their LCM is:

A.

15

B.

80

C.

60

D.

20

Correct option is C

Given:

Ratio of two numbers = 4 : 5

HCF = 3

Concept Used:
If the ratio of two numbers is a : b and their HCF is h, then the numbers are 4h and 5h.
LCM × HCF = Product of the two numbers

Solution:
Let the numbers be 4 × 3 = 12 and 5 × 3=15

LCM=12×153=1803=60\text{LCM} = \frac{12 \times 15}{3} = \frac{180}{3} = 60

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