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
PLEASE GIVE ALL THE ANSWERS WITH EXPLANATION
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ANSWER
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
3)32,48
32=2×2×2×2×2
48=2×2×2×2×3
LCM=96
HCF=16
Hence, LCM×HCF=96×16=1536 = Product of numbers
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