SOLUTION: Please help me solve this problem 1. Four boys step off from the same place. If their steps measures 16 cm,28cm, 40cm and 77cm respectively, at what distance from the starting p

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Question 803171: Please help me solve this problem
1. Four boys step off from the same place. If their steps measures 16 cm,28cm, 40cm and 77cm respectively, at what distance from the starting point will they again step together?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we need to calculate the least common multiple (LCM) of these 4 numbers
start by finding the prime factors of each number, we will list them like so,
16 = 2*2*2*2
26 = 2*2 *7
40 = 2*2*2 *5
77 = *7 *11
LCM = 2*2*2*2*7*5*11 = 6160 cm
we see that the LCM must contain both factors of 2, both factors of 7, 5 factor and 11 factor