for each of the following pairs of numbers verify the property pro duct of the number is equal to product of their HCF and LCM
1. 25, 65
2. 117, 221
3. 35, 40
4. 87, 145
5. 490, 1155
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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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