Question

an
Three boys step off together from the same spot. Their steps measure 63 cm. 70 cm
and 77 cm respectively. What is the minimum distance each should cover so that
can cover the distance in complete steps?
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Answer 1

$\underline{\boxed{\bold\red{Question}}}$

Three boys step off together from the same spot. Their steps measure 63cm, 70cm and 77cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?

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$\underline{\boxed{\bold\blue{Answer}}}$

Note :- if maximum or minimum comes then we have take HCF and LCM

$\orange{Minimum = LCM}$

$\orange{Maximum = HCF }$

Step of 1st boy = 63cm

Step of 2nd boy = 70cm

Step of 3rd boy = 77cm

As per question they have asked for minimum = LCM

3[63] 2[70] 7[77]

3[21] 5[35] 11[11]

7[7] 7[7] [1]

[1] [1]

63 = 3×3×7

70 = 2×5×7

77 = 7×11

7 is common so,

LCM = 3×3×7×2×5×11

$\green{\boxed{ 6930}}$

Hence, the maximum distance each should cover so that all can cover the distance in complete steps is 6930cm

[Hope this helps you.../]