Least Common Multiple of 295/430, 471/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 295/430, 471/863 quickly i.e. 138945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/430, 471/863 is 138945.

LCM(295/430, 471/863) = 138945

LCM of 295/430, 471/863

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 295/430,471/863

Given numbers are 295/430,471/863

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 295,471

Least Common Multiple of Numerators i.e. LCM of 295,471 is 138945.

GCF of Denominators means GCF of 430,863 as per the given fractions.

GCF of 430,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,471

LCM of Fractions 295/430,471/863 is 138945

Given numbers has no common factors except 1. So, there LCM is their product i.e 138945

Least Common Multiple of 295,471 with GCF Formula

Least Common Multiple of 295,471 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 295,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,471) = 1

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

GCF(295,471) x common factors =1 x 1 = 1

LCM(295,471) = ( 295 × 471 ) / 1

LCM(295,471) = 138945 / 1

LCM(295,471) = 138945


Lets's calculate GCF of 430,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138945/1

Therefore the LCM of Fractions 295/430,471/863 is 138945

Greatest Common Factor of 430,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,863 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 430,863 . The biggest common factor number is the GCF number.
So the greatest common factor 430,863 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 295/430, 471/863

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 295/430, 471/863?

Answer: LCM of Numerators as per given numbers 295/430, 471/863 is

LCM of Numerators i.e. for 295,471 is 138945

GCF of denominators i.e. for 430,863 is 1.

Thus, LCM of Fractions is 138945.Finally, LCM of Fractions for 295/430, 471/863 is 138945.