Question

By which smallest number should the 486 be multiplied so that the product a perfect cube?

Answer 1

find out lcm of 486

2 | 486

.............

3 | 243

............

3 | 81

............

3 | 27

............

3 | 9

............

3 | 3

...........

| 1

486 = 2*3*3*3*3*3

2 and 3 does not form a triplet pair

so multiply 2*2 and 3 on both sides

486 *2*2*3= 2*2*2 * 3*3*3 * 3*3*3

Therefore multiply it by 12 to make perfect cube

Answer 2

Answer:

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