Question

Worksheet 7
ffees
1.
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

Answer 1

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.

thank you.