Least Common Multiple of 7084/64, 7523/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7084/64, 7523/249 quickly i.e. 53292932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7084/64, 7523/249 is 53292932.

LCM(7084/64, 7523/249) = 53292932

LCM of 7084/64, 7523/249

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7084/64,7523/249

Given numbers are 7084/64,7523/249

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7084,7523

Least Common Multiple of Numerators i.e. LCM of 7084,7523 is 53292932.

GCF of Denominators means GCF of 64,249 as per the given fractions.

GCF of 64,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7084,7523

LCM of Fractions 7084/64,7523/249 is 53292932

Given numbers has no common factors except 1. So, there LCM is their product i.e 53292932

Least Common Multiple of 7084,7523 with GCF Formula

Least Common Multiple of 7084,7523 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7084,7523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7084,7523) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7084,7523) x common factors =1 x 1 = 1

LCM(7084,7523) = ( 7084 × 7523 ) / 1

LCM(7084,7523) = 53292932 / 1

LCM(7084,7523) = 53292932


Lets's calculate GCF of 64,249

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53292932/1

Therefore the LCM of Fractions 7084/64,7523/249 is 53292932

Greatest Common Factor of 64,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,249 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 64,249 . The biggest common factor number is the GCF number.
So the greatest common factor 64,249 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7084/64, 7523/249

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7084/64, 7523/249?

Answer: LCM of Numerators as per given numbers 7084/64, 7523/249 is

LCM of Numerators i.e. for 7084,7523 is 53292932

GCF of denominators i.e. for 64,249 is 1.

Thus, LCM of Fractions is 53292932.Finally, LCM of Fractions for 7084/64, 7523/249 is 53292932.