Question

36. Three boys step off together from the same spot their steps measure 63cm,
70cm and 77 cm respectively. What is minimum distance each should cover so
that all can cover the distance in complete steps ?
O a. 6960 cm
O b.6990 cm
C 6930 cm
O d.6900 cm
do step by step ​

Answer 1

Question:

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

Options:

• 6960cm
• 6990cm
• 6930cm
• 6900cm

Answer:

Option (C) 6930cm

Step-by-step explanation:

Given,

The step measures are$=$63 cm, 70 cm and 77 cm

For finding minimum distance we have to find L.CM

L.C.M - Least Common Multiple

L.CM method is attached (refer to the picture)

L.CM of $(63,70,77)=2*3*3*5*7*11$

Easy multiplication of the sum

⇒2*5*3*3*11

⇒10*9*7*11

⇒10*63*11

⇒6930

Hence the minimum distance walked by them is 6930cm