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The ratio of two numbers is 9 : 11 and their H.C.F is 8, then find their L.C.M.
1. 792
2. 565
3. 765
4. 234

1 Answer

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Correct Answer - Option 1 : 792

Given

The ratio of two numbers = 9: 11

H.C.F = 8

Concept

Product of two numbers = H.C.F × L.C.M

calculation

Let the two numbers are 9x and 11x

H.C.F = 8

So, the numbers will be 72 (i.e.9 × 8) and 88(i.e.11 × 8)

x is the H.C.F

Now, 72 × 88 = L.C.M × H.C.F

⇒ (72 × 88)/8 = L.C.M

⇒ 11 × 72 = L.C.M

⇒ 792 = L.C.M

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