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

least length of tapes = LCM of given numbers .
LCM of given numbers = 576
So , 576 cm is the least length that can be measured by any of the tapes exactly.

Answer 2

Answer:

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

Step-by-step explanation:

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

To find : What is the least length that can be measured by any of the tapes exactly?

Solution :

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

LCM of 64, 72 and 96 are:

$64 = 2\times 2\times 2\times 2\times 2\times 2$

$72 = 2\times 2\times 2\times 3\times 3$

$96 = 2\times 2\times 2\times 2\times 2\times 3$

$LCM(64,72,96)= 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$

$LCM(64,72,96)= 576$

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