Question

Two numbers are coprime and there lcm is 4940 one number is 65 what is another number

Answer 1

The second number is 76.


KEY POINTS TO REMEMBER :-

$hcf \times lcm = product \: of \: numbers$


SOLUTION :-


Let the second number be x


Given that :-
The first number is 65
LCM of x and 65 is 4949
Also, x and 65 are co-primes.

CO-PRIMES:-
The numbers which are having their highest common factor as 1 are known as co-primes.

From here we get:-
HCF of x and 65 is 1

So,
We know the two numbers, their HCF and their LCM.

So,

We know the relation that:-

Product of the numbers = LCM * HCF

So,
Putting down the values :-

$65 \times x = 4940 \times 1 \\ \\ 65x = 4940 \\ \\ x = \frac{4940}{65} \\ \\ x = 76$
Hence,
The second number is 76.


Thanks!