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HCF and LCMSUBMISSIONS 1. 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 distance in complete steps? |
Answer» <html><body><p></p><p>Here, the required minimum distance will be equal to the LCM of measures of their <a href="https://interviewquestions.tuteehub.com/tag/steps-1227441" style="font-weight:bold;" target="_blank" title="Click to know more about STEPS">STEPS</a>.</p><p></p><p>Step <a href="https://interviewquestions.tuteehub.com/tag/measure-1091857" style="font-weight:bold;" target="_blank" title="Click to know more about MEASURE">MEASURE</a> of <a href="https://interviewquestions.tuteehub.com/tag/1st-283090" style="font-weight:bold;" target="_blank" title="Click to know more about 1ST">1ST</a> Boy = <a href="https://interviewquestions.tuteehub.com/tag/63-330460" style="font-weight:bold;" target="_blank" title="Click to know more about 63">63</a> cm</p><p></p><p>Step measure of 2nd Boy = 70 cm</p><p></p><p>Step measure of 3rd Boy = <a href="https://interviewquestions.tuteehub.com/tag/77-335698" style="font-weight:bold;" target="_blank" title="Click to know more about 77">77</a> cm</p><p></p><p>LCM of 63,70,77</p><p></p><p>LCM=2 × 3 × 3 × 5 × 7 × 11 = 6930</p><p></p><p>Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.</p><p></p><p>Keep Smiling ❤</p></body></html> | |