Question

The LCM of 42 and another number is 210. If the HCF is 14, Find the other number.

Answer 1

Answer:

i have given the answer in the pic

Answer 2

Step-by-step explanation:

Given :-

The LCM of 42 and another number is 210. If the HCF is 14

To find:-

Find the other number.

Solution:-

Let the other number be 'b'

Given number(a)=42

The LCM of 42 and b=210

The HCF of 42 and b=14

Formula:-

If a and b are two numbers and their LCM and HCF are L and H respectively then

LCM×HCF=a×b

=>L×H=a×b

=>210×14=42×b

=>b=(210×14)/42

=>b=(42×5×14)/42

cancelling 42

=>b=5×14

=>b=70

Answer:-

The other number is 70