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The smallest natural number which is divisible by 11, 6, 55 and 9 is:
Question

The smallest natural number which is divisible by 11, 6, 55 and 9 is:

A.

921

B.

990

C.

1054

D.

1032

Correct option is B

Given:
The number must be divisible by: 11, 6, 55, and 9
Formula Used:
Smallest natural number divisible by multiple numbers = LCM (Least Common Multiple) of the given numbers
Solution:
Prime factorizations:
11 = 11
6 = 2 × 3
55 = 5 × 11
9 = 3²
LCM=2×32×5×11=2×9×5×11=18×5=9090×11=990\text{LCM} = 2 \times 3^2 \times 5 \times 11= 2 \times 9 \times 5 \times 11= 18 \times 5 = 9090 \times 11 = 990​​
 990 is the smallest natural number divisible by 11, 6, 55, and 9

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