2. In a morning walk, 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 all can cover the same distance in complete steps? is the least distance in which both
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Step-by-step explanation:
hlo mate here's your answer
Step measure of
Step measure of 1 st
Step measure of 1 stBoy
Step measure of 1 stBoy=
Step measure of 1 stBoy=63
Step measure of 1 stBoy=63cm
Step measure of 1 stBoy=63cmStep measure of 2
Step measure of 1 stBoy=63cmStep measure of 2nd
Step measure of 1 stBoy=63cmStep measure of 2ndBoy
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cm
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rd
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cm
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×5×
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×5×7×
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×5×7×11=
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×5×7×11=6930
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×5×7×11=6930Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.
Step measure of 1 stBoy=63cmStep measure of 2ndBoy=70cmStep measure of 3 rdBoy=77cmLCM of 63,70,77LCM=2×3×3×5×7×11=6930Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.2
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Here, the required minimum distance will be equal to the LCM of measures of their steps.
Step measure of 1st Boy = 63 cm
Step measure of 2nd Boy = 70 cm
Step measure of 3rd Boy = 77 cm
LCM of 63,70,77
→ 63 = 3² × 7
→ 70 = 2 × 5 × 7
→ 77 = 7 × 11
LCM=2 × 3² × 5 × 7 × 11 = 6930
- Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.
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