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Find the LCM of 22×33×5×72,23×32×52×74 and 2×3×53×7×11.2^2× 3^3× 5× 7^2, 2^3× 3^2\times 5^2 × 7^4 \ and \ 2× 3× 5^3× 7× 11.22×33×5×72,
Question

Find the LCM of 22×33×5×72,23×32×52×74 and 2×3×53×7×11.2^2× 3^3× 5× 7^2, 2^3× 3^2\times 5^2 × 7^4 \ and \ 2× 3× 5^3× 7× 11.​​

A.

2 × 3 × 5 × 7 × 11

B.

23×33×53×742^3× 3^3× 5^3 × 7^4​​

C.

23×33×53×74×112^3× 3^3× 5^3× 7^4× 11​​

D.

2×3×5×7

Correct option is C

Given:

X=22×33×5×72 Y=23×32×52×74 Y= 2×3×53×7×11. X = 2^2× 3^3× 5× 7^2 \\\ \\ Y = 2^3× 3^2\times 5^2 × 7^4 \\\ \\ Y = \ 2× 3× 5^3× 7× 11. 

Concept Used: 

To find the LCM of numbers expressed in terms of their prime factors, we take the highest power of each prime factor present in any of the expressions

Solution: 

LCM = 23×33×53×74×112^3\times3^3\times5^3\times7^4\times11   

= 713097000


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