Least Common Multiple of 52/982, 2243/7504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/982, 2243/7504 quickly i.e. 58318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/982, 2243/7504 is 58318.

LCM(52/982, 2243/7504) = 58318

LCM of 52/982, 2243/7504

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 52/982,2243/7504

Given numbers are 52/982,2243/7504

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 52,2243

Least Common Multiple of Numerators i.e. LCM of 52,2243 is 116636.

GCF of Denominators means GCF of 982,7504 as per the given fractions.

GCF of 982,7504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,2243

LCM of Fractions 52/982,2243/7504 is 58318

Given numbers has no common factors except 1. So, there LCM is their product i.e 116636

Least Common Multiple of 52,2243 with GCF Formula

Least Common Multiple of 52,2243 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 52,2243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,2243) = 1

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

GCF(52,2243) x common factors =1 x 1 = 1

LCM(52,2243) = ( 52 × 2243 ) / 1

LCM(52,2243) = 116636 / 1

LCM(52,2243) = 116636


Lets's calculate GCF of 982,7504

2 982, 7504
491, 3752

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116636/2

Therefore the LCM of Fractions 52/982,2243/7504 is 58318

Greatest Common Factor of 982,7504 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,7504 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors 982,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 982,7504 is 2.


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 52/982, 2243/7504

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 52/982, 2243/7504?

Answer: LCM of Numerators as per given numbers 52/982, 2243/7504 is

LCM of Numerators i.e. for 52,2243 is 116636

GCF of denominators i.e. for 982,7504 is 2.

Thus, LCM of Fractions is 58318.Finally, LCM of Fractions for 52/982, 2243/7504 is 58318.