Show that the product for the number 14,21 is equal to the product of their HCF and LCM
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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
Step-by-step explanation:
Just change the numbers and the process is same
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