48,64,72,96,108 find the L.C.M
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Answered by
1
Step-by-step explanation:
Lcm of 48 64 72 96 108
First we find factor of each number
48=2\times 2\times 2\times 2\times 3\Rightarrow 2^4\times 348=2×2×2×2×3⇒2
4
×3
64=2\times2\times2\times2\times2\times2\Rightarrow 2^664=2×2×2×2×2×2⇒2
6
72=2\times2\times2\times3\times3\Rightarrow 2^3\times 3^272=2×2×2×3×3⇒2
3
×3
2
96=2\times2\times 2\times 2\times 2\times 3\Rightarrow 2^5\times 396=2×2×2×2×2×3⇒2
5
×3
108=2\times2\times3\times3\times3\Rightarrow 2^2\times 3^3108=2×2×3×3×3⇒2
2
×3
3
We can see each factor has only 2 and 3 prime number
For LCM we will choose maximum power of 2 and 3
LCM=2^6\times 3^3\RightarrowLCM=2
6
×3
3
⇒
Thus, LCM of 48, 64, 72, 96 and 108 is 1728
Answered by
0
Answer:
1728 is the lcm
Step-by-step explanation:
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