Question

Show that the product for the number 14,21 is equal to the product of their HCF and LCM

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

Step-by-step explanation:

Just change the numbers and the process is same