Question

four boys step off from the same place. If their steps measures 16cm,28cm,40cm,77cm respectively,at what distance from the starting point will they again step together?

Answer 1

take lcm of 16cm,28cm,40cm,77cm= 6160 
6160 cm = 6.160km
they again step together at 6.160 km.

Answer 2

At 6160 cm, they will step again together.

Step-by-step explanation:

Given that,

The measure of each boy's step

16 cm, 28 cm, 40 cm, 77cm

Now by prime factorizing each of them,

16 = 2 * 2 * 2 *2

28 = 2 * 2 * 7

40 = 2 * 2 * 2 * 5

77 = 7 * 11

L.C.M. of 16, 28, 40, 77 = 2 * 2 * 2 * 2 * 5 * 7 * 11

= 6160 cm

Thus, the four boys after the first step would step together again at 6160cm.

Learn more: Find the greatest length

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