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Three boys step off together from the same place. If their steps measure 36 cm, 48 cm and 54 cm, at what distance from the starting point will they again step together? - Mathematics

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प्रश्न

Three boys step off together from the same place. If their steps measure 36 cm, 48 cm and 54 cm, at what distance from the starting point will they again step together?

योग

उत्तर

From the starting point, they will step together again when they travel a distance that is exactly divisible by the lengths of their steps. 
The least distance from the starting point where they will step together will be given by the LCM of 36, 48, and 54.

The required distance = 2 × 2 ×3 × 3 × 3 × 2 × 2
= 16 × 27
= 432 cm
∴ They will step together again at a distance of 432 cm from the starting point.

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अध्याय 2: Factors and Multiples - Exercise 2E [पृष्ठ ४०]

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आरएस अग्रवाल Mathematics [English] Class 6
अध्याय 2 Factors and Multiples
Exercise 2E | Q 26 | पृष्ठ ४०
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