Least Common Multiple of 25/131, 189/676, 382/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/131, 189/676, 382/411 quickly i.e. 1804950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/131, 189/676, 382/411 is 1804950.

LCM(25/131, 189/676, 382/411) = 1804950

LCM of 25/131, 189/676, 382/411

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 25/131,189/676,382/411

Given numbers are 25/131,189/676,382/411

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 25,189,382

Least Common Multiple of Numerators i.e. LCM of 25,189,382 is 1804950.

GCF of Denominators means GCF of 131,676,411 as per the given fractions.

GCF of 131,676,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,189,382

LCM of Fractions 25/131,189/676,382/411 is 1804950

Given numbers has no common factors except 1. So, there LCM is their product i.e 1804950

Least Common Multiple of 25,189,382 with GCF Formula

Least Common Multiple of 25,189,382 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 25,189,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,189,382) = 1

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

GCF(25,189,382) x common factors =1 x 1 = 1

LCM(25,189,382) = ( 25 × 189 × 382 ) / 1

LCM(25,189,382) = 1804950 / 1

LCM(25,189,382) = 1804950


Lets's calculate GCF of 131,676,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1804950/1

Therefore the LCM of Fractions 25/131,189/676,382/411 is 1804950

Greatest Common Factor of 131,676,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,676,411 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 131,676,411 . The biggest common factor number is the GCF number.
So the greatest common factor 131,676,411 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 25/131, 189/676, 382/411

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 25/131, 189/676, 382/411?

Answer: LCM of Numerators as per given numbers 25/131, 189/676, 382/411 is

LCM of Numerators i.e. for 25,189,382 is 1804950

GCF of denominators i.e. for 131,676,411 is 1.

Thus, LCM of Fractions is 1804950.Finally, LCM of Fractions for 25/131, 189/676, 382/411 is 1804950.