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The ratio of two numbers is 5 : 6 and their HCF is 7. Find their LCM.​
Question

The ratio of two numbers is 5 : 6 and their HCF is 7. Find their LCM.​

A.

35

B.

210

C.

42

D.

84

Correct option is B

Given:

The ratio of two numbers = 5 : 6

HCF of the two numbers = 7

Formula Used:

If numbers are a and b, then

HCF × LCM = a × b

Solution:

Let the two numbers be 5x and 6x

Since their HCF is 7,
x = 7

So, the numbers are:

5×7=35and6×7=425 \times 7 = 35 \quad \text{and} \quad 6 \times 7 = 42​​

Now,

LCM = 35×427 \frac{35 \times 42}{7}​ = 210

Alternate Solution(Exam-Hall trick):

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