Least Common Multiple of 286/425, 1908/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/425, 1908/571 quickly i.e. 272844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/425, 1908/571 is 272844.

LCM(286/425, 1908/571) = 272844

LCM of 286/425, 1908/571

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 286/425,1908/571

Given numbers are 286/425,1908/571

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 286,1908

Least Common Multiple of Numerators i.e. LCM of 286,1908 is 272844.

GCF of Denominators means GCF of 425,571 as per the given fractions.

GCF of 425,571 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,1908

LCM of Fractions 286/425,1908/571 is 272844

2 286, 1908
143, 954

∴ So the LCM of the given numbers is 2 x 143 x 954 = 272844

Least Common Multiple of 286,1908 with GCF Formula

Least Common Multiple of 286,1908 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 286,1908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,1908) = 2

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

GCF(286,1908) x common factors =2 x 1 = 2

LCM(286,1908) = ( 286 × 1908 ) / 2

LCM(286,1908) = 545688 / 2

LCM(286,1908) = 272844


Lets's calculate GCF of 425,571

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272844/1

Therefore the LCM of Fractions 286/425,1908/571 is 272844

Greatest Common Factor of 425,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,571 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Greatest Common Factor

We found the factors 425,571 . The biggest common factor number is the GCF number.
So the greatest common factor 425,571 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 286/425, 1908/571

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 286/425, 1908/571?

Answer: LCM of Numerators as per given numbers 286/425, 1908/571 is

LCM of Numerators i.e. for 286,1908 is 272844

GCF of denominators i.e. for 425,571 is 1.

Thus, LCM of Fractions is 272844.Finally, LCM of Fractions for 286/425, 1908/571 is 272844.