LCM of
Question:

LCM of $\left(2^{3} \times 3 \times 5\right)$ and $\left(2^{4} \times 5 \times 7\right)$ is

(a) 40
(b) 560
(c) 1680
(d) 1120

 

Solution:

(c) 1680

LCM $\left(2^{3} \times 3 \times 5,2^{4} \times 5 \times 7\right)$

∴​ LCM = Product of greatest power of each prime factor involved in the numbers

$=2^{4} \times 3 \times 5 \times 7$

$=16 \times 3 \times 5 \times 7$

$=1680$

 

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