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If p = 11× 22 × 3× 5

q = 74 × 24 × 3 × 11

r = 23 × 33 × 53 × 73

Then, find the value of (LCM of p, q, r) ÷ (62 × 77). 


1. 7 × 22 × 3 × 53 × 113
2. 7 × 32 × 2 × 73 × 53
3. 11 × 22 × 3 × 73 × 53
4. 10 × 22 × 3 × 63 × 53

1 Answer

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Correct Answer - Option 3 : 11 × 22 × 3 × 73 × 53

Concept:

LCM: Product of highest power of each commom prime factors in the numbers 

Calculation:

p = 11× 22 × 3× 5

q = 74 × 24 × 3 × 11

r = 23 × 33 × 53 × 73

LCM of p, q and r = 11× 24 × 3× 53 × 74

According to the question:

(LCM of p, q, r) ÷ (62 × 77)

⇒ (11× 24 × 3× 53 × 74) ÷ (22 × 3× 7 × 11) 

⇒ (11 × 22 × 3 × 53 × 73)

∴ (LCM of p, q, r) ÷ (62 × 77) = (11 × 22 × 3 × 53 × 73)

The correct option is 3 i.e. (11 × 22 × 3 × 53 × 73)

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