Least Common Multiple of 25/586, 5416/7844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/586, 5416/7844 quickly i.e. 67700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/586, 5416/7844 is 67700.

LCM(25/586, 5416/7844) = 67700

LCM of 25/586, 5416/7844

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 25/586,5416/7844

Given numbers are 25/586,5416/7844

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 25,5416

Least Common Multiple of Numerators i.e. LCM of 25,5416 is 135400.

GCF of Denominators means GCF of 586,7844 as per the given fractions.

GCF of 586,7844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,5416

LCM of Fractions 25/586,5416/7844 is 67700

Given numbers has no common factors except 1. So, there LCM is their product i.e 135400

Least Common Multiple of 25,5416 with GCF Formula

Least Common Multiple of 25,5416 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 25,5416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5416) = 1

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

GCF(25,5416) x common factors =1 x 1 = 1

LCM(25,5416) = ( 25 × 5416 ) / 1

LCM(25,5416) = 135400 / 1

LCM(25,5416) = 135400


Lets's calculate GCF of 586,7844

2 586, 7844
293, 3922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135400/2

Therefore the LCM of Fractions 25/586,5416/7844 is 67700

Greatest Common Factor of 586,7844 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,7844 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 7844

List of positive integer factors of 7844 that divides 7844 without a remainder.

1,2,4,37,53,74,106,148,212,1961,3922,7844

Greatest Common Factor

We found the factors 586,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 586,7844 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 25/586, 5416/7844

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 25/586, 5416/7844?

Answer: LCM of Numerators as per given numbers 25/586, 5416/7844 is

LCM of Numerators i.e. for 25,5416 is 135400

GCF of denominators i.e. for 586,7844 is 2.

Thus, LCM of Fractions is 67700.Finally, LCM of Fractions for 25/586, 5416/7844 is 67700.