Least Common Multiple of 5684/250, 5243/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5684/250, 5243/965 quickly i.e. 608188/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5684/250, 5243/965 is 608188/5.

LCM(5684/250, 5243/965) = 608188/5

LCM of 5684/250, 5243/965

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 5684/250,5243/965

Given numbers are 5684/250,5243/965

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 5684,5243

Least Common Multiple of Numerators i.e. LCM of 5684,5243 is 608188.

GCF of Denominators means GCF of 250,965 as per the given fractions.

GCF of 250,965 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5684,5243

LCM of Fractions 5684/250,5243/965 is 608188/5

7 5684, 5243
7 812, 749
116, 107

∴ So the LCM of the given numbers is 7 x 7 x 116 x 107 = 608188

Least Common Multiple of 5684,5243 with GCF Formula

Least Common Multiple of 5684,5243 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 5684,5243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5684,5243) = 49

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

GCF(5684,5243) x common factors =49 x 1 = 49

LCM(5684,5243) = ( 5684 × 5243 ) / 49

LCM(5684,5243) = 29801212 / 49

LCM(5684,5243) = 608188


Lets's calculate GCF of 250,965

5 250, 965
50, 193

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608188/5

Therefore the LCM of Fractions 5684/250,5243/965 is 608188/5

Greatest Common Factor of 250,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,965 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 250,965 . The biggest common factor number is the GCF number.
So the greatest common factor 250,965 is 5.


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 5684/250, 5243/965

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 5684/250, 5243/965?

Answer: LCM of Numerators as per given numbers 5684/250, 5243/965 is

LCM of Numerators i.e. for 5684,5243 is 608188

GCF of denominators i.e. for 250,965 is 5.

Thus, LCM of Fractions is 608188/5.Finally, LCM of Fractions for 5684/250, 5243/965 is 608188/5.