Least Common Multiple of 25/79, 727/49, 865/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/79, 727/49, 865/596 quickly i.e. 3144275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/79, 727/49, 865/596 is 3144275.

LCM(25/79, 727/49, 865/596) = 3144275

LCM of 25/79, 727/49, 865/596

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 25/79,727/49,865/596

Given numbers are 25/79,727/49,865/596

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 25,727,865

Least Common Multiple of Numerators i.e. LCM of 25,727,865 is 3144275.

GCF of Denominators means GCF of 79,49,596 as per the given fractions.

GCF of 79,49,596 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,727,865

LCM of Fractions 25/79,727/49,865/596 is 3144275

5 25, 727, 865
5, 727, 173

∴ So the LCM of the given numbers is 5 x 5 x 727 x 173 = 3144275

Least Common Multiple of 25,727,865 with GCF Formula

Least Common Multiple of 25,727,865 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 25,727,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,727,865) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,727,865) x common factors =1 x 5 = 5

LCM(25,727,865) = ( 25 × 727 × 865 ) / 5

LCM(25,727,865) = 15721375 / 5

LCM(25,727,865) = 3144275


Lets's calculate GCF of 79,49,596

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3144275/1

Therefore the LCM of Fractions 25/79,727/49,865/596 is 3144275

Greatest Common Factor of 79,49,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,49,596 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 79,49,596 . The biggest common factor number is the GCF number.
So the greatest common factor 79,49,596 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 25/79, 727/49, 865/596

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 25/79, 727/49, 865/596?

Answer: LCM of Numerators as per given numbers 25/79, 727/49, 865/596 is

LCM of Numerators i.e. for 25,727,865 is 3144275

GCF of denominators i.e. for 79,49,596 is 1.

Thus, LCM of Fractions is 3144275.Finally, LCM of Fractions for 25/79, 727/49, 865/596 is 3144275.