Question

48,64,72,96,108 find the L.C.M​

Answer 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

Answer 2

Answer:

1728 is the lcm

Step-by-step explanation: