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Three measuring rods are 60cm,80cm and 100cm in length of cloh that can be measured exact number of times using any one of these rods ​

Answer»

1200 cmStep-by-step explanation:Find the least common multiple (LCM) of 60, 80, and 100 by finding their respective prime factorizations.Prime FACTORIZATION of 60: 2²×3×5Prime factorization of 80: ×5Prime factorization of 100: 2²×5²Their GREATEST common factor is clearly (2²×5), or 20, so divide each number by 20:60/20=380/20=4100/20=5LCM=(3)(4)(5)(GCF)LCM=60(20)LCM=1200Therefore, 1200 cm is the shortest length of cloth that can be measured an exact number of times using any one of these RODS.



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