Sunil ,Vivek and Kapil walk around a circular path.Their steps measure 24 cm, 30 cm and 36 CM respectively. how much distance will the cover from the starting point so that they meet again?
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Given data : Sunil ,Vivek and Kapil walk around a circular path and their steps measure 24 cm, 30 cm and 36 CM respectively.
To find : Distance they cover from the starting point so that they meet again.
Step by step explanation :
The point they three meet from the starting point will be the least common factor of their steps.
The LCM of (24, 30, 36) is :
2 | 24, 30, 36
3 | 12, 15, 18
2 | 4, 5, 6
| 2, 5, 3
LCM is 2 x 3 x 2 x 2 x 5 x 3 = 2³ x 3² x 5 = 8 x 9 x 5 = 40 x 9 = 360
LCM (24, 30, 36) = 360
Therefore, Sunil ,Vivek and Kapil meet again at 360 cm from the starting point.
Learn more :
1) Complete the formula
LCM×HCF=.........
LCM=......./HCF
HCF=......./LCM
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