Question

Three boys step off from the same place. If their steps measures 16 cm, 40 cm and 56
cm respectively. At what distance from the starting point will they again step
together?
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Answer 1

Step-by-step explanation:

GIVEN:-

3 boys step off together from the same place and it measures 16cm , 40cm , 56cm.

TO FIND:-

At what distance from the starting point will they again step together.

UNDERSTANDING THE CONCEPT:-

From the starting point, they will step together again when they travel a distance that is exactly divisible by the lengths of their steps.

So, the least distance from the starting point where they will step together can be found by LCM of 16,40,54.

REQUIRED ANSWER:-

List all prime factors for each number.

Prime Factorization of 16 is:

2 x 2 x 2 x 2 => 16

Prime Factorization of 40 is:

2 x 2 x 2 x 5 => 40

Prime Factorization of 56 is:

2 x 2 x 2 x 7 => 56

$= 560$

LCM = 560

Therefore they will step together at a distance of 560cm from the starting point.

Answer 2

Answer:

They will step together at a distance of 560 cm from the starting point.