on a morning walk, three persons step off together and their steps measure 40 cm, 42 cm, amd 45 cm respectively. what is the minimum number of distance each should walk so that each can cover the same distance in complete steps?
A) 2520
B) 2525
C) 2555
D) 2528
Answers
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Step-by-step explanation:
Solution:-
We have to find the LCM of 40 cm,
42 cm and 45 cm
Now,
40 = 2 × 2 × 2 × 5,
42 = 2 × 3 × 7
45 = 3 × 3 × 5
we use LCM
∴ LCM (40, 42, 45)
= 2 × 3 × 5 × 2 × 2 × 3 × 7
= 30 × 12 × 7
= 210 × 12
= 2520
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