Question

for each of the following pairs of numbers, verify that product of number is equal to the product of their HCF and LCM. 32,48​

Answer 1

Given :

For each of the following pairs of numbers, verify that product of number is equal to the product of their HCF and LCM 32,48.

Solution :

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.

Therefore,

Hence, Verified !!

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Answer 2

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

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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