The number between 6000 and 7000 that is divisible by each of 12, 21, 32 and 18 is:
Given:
The numbers between 6000 and 7000 that are divisible by 12, 21, 32, and 18.
Solution:
Prime factorization of 12: 12 = 2 × 2 × 3
Prime factorization of 21: 21 = 3 × 7
Prime factorization of 32: 32 = 2 × 2 × 2 ×2 × 2
Prime factorization of 18: 18 = 2 × 3× 3
LCM = 2 × 2 × 2 × 2 ×2 × 3× 3 × 7 = 2016
Divide 6000 by 2016:
= 2016 × 3 = 6048
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