Question

L.C.M.
32, 42, 8, 9
128, 2, 64​

Answer 1

Answer:

8064

Step-by-step explanation:

Prime factorization of the numbers:

32 = 2 × 2 × 2 × 2 × 2

42 = 2 × 3 × 7

8 = 2 × 2 × 2

9 = 3 × 3

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

64 = 2 × 2 × 2 × 2 × 2 × 2

2 = 2 × 1

LCM(32, 42, 8, 9, 128, 64, 2)

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7

= 8064

Another method:

2 । 32, 42, 8, 9, 128, 64, 2

2 । 16, 21, 4, 9, 64, 32, 1

2 । 8, 21, 2, 9, 32, 16, 1

2 । 4, 21, 1, 9, 16, 8, 1

2 । 2, 21, 1, 9, 8, 4, 1

2 । 1, 21, 1, 9, 4, 2, 1

2 । 1, 21, 1, 9, 2, 1, 1

3 । 1, 21, 1, 9, 1, 1, 1

3 । 1, 7, 1, 3, 1, 1, 1

7 । 1, 7, 1, 1, 1, 1, 1

। 1, 1, 1, 1, 1, 1, 1

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7

= 8064