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