Question

for each of the following pairs of numbers verify the product of numbers is equal to the product of their HCF and LCM ​

Answer 1

Answer:

For each of the following pairs of numbers, verify that product of numbers is equal to the product of HCF and LCM.

1) 10, 15

2) 35, 40

3) 32, 48

December 27, 2019avatar

Abira Motwani

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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