Question

Lcm of 144,180,and 384​

Answer 1

Answer:

L.C.M. of 144,180 and 384 = 5760

Step-by-step explanation:

12) 12 15 32

4) 3 15 8

3) 1 5 8

L.C.M = 12×4×3×1×5×8 = 5760

Answer 2

Answer:

5760

Step-by-step explanation:

First we have to convert them into prime factors.

So,

180=9×20=3×3×4×5

∴180=3

2

×2

2

×5

Now 384=3×128=3×8×16

∴384=3×2

7

144=12×12=3×4×3×4

∴144=3

2

×2

4

So, to find LCM we have to take highest power among all number of each occurring factor, and multiply them to find LCM

here, prime factors appearing are 2,3,5

So, highest factor of 2 is 7, of 3 is 2 and of 5 is 1.

∴LCM=2

7

×3

2

×4=5760

So, LCM of 180,384,144 is 5760

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