For each of the following pairs of numbers, verify that product of numbers is equal to the product of their HCF and LCM. (a) 10,15 (b) 35,40 (c) 32,48
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Explanation:
1)10,15
10=2×5
15=3×5
LCM=2×3×5=30
HCF=5
Hence, LCM×HCF=30×5=150= Product of Numbers
2)35,40
35=5×7
40=2×2×2×5
LCM=5×7×8=280
HCF=5
Hence, LCM×HCF=280×5=1400 = Product of Numbers
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