Question

Three measuring tapes are 64cm 72cm and 96cm what is the least length that can be measured by any of the tapes exactly?​

Answer 1

Answer:

The least length that can be measured by any of the tapes exactly is 576 cm.

Explanation:

Given that,

Three measuring tapes are 64 cm, 72 cm and 96 cm.

we need to find the, least length that can be measured by any of the tapes exactly

To find the least length we need the least common multiply of the given lengths,

LCM of 64, 72 and 96 are:

64 = 2 × 2 × 2 × 2 × 2 × 2

72 = 2 × 2 × 2 × 3 × 3

96 = 2 × 2 × 2 × 2 × 2 × 3

LCM 64,72,96 =2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

LCM of 64, 72,96 = 576

Therefore, The least length that can be measured by any of the tapes exactly is 576 cm. ans.