Question

for each of the following pair of numbers show the show that the product of their HCF and LCM equals their product 14 and 21
​

Answer 1

Answer:

294

Step-by-step explanation:

LCM of 14 & 21 = 42

HCF of 14 & 21 = 7

LCM × HCF = Product of the numbers

42 × 7 = 14 × 21

294 = 294

Answer 2

$\large\boxed{\fcolorbox{blue}{aqua}{HOLA!! Mate..}}$

Here, we have 2 numbers 14 and 21

To proove-

their product =hcf×lcm

so

to find hcf and Lcm of 14 and 21

Use PRIME FACTORIZATION METHOD

14=2×7

21=7×3

HCF=》 7^1

LCM=》 7×3×2= 21×2 =42

Now,

lets check

whether

hcf×lcm= product of the 2 numbers

42×7=14×21

294=294

$\large\boxed{\fcolorbox{blue}{aqua}{Hence verified}}$