Least Common Multiple of 871/244, 1875/5158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/244, 1875/5158 quickly i.e. 1633125/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/244, 1875/5158 is 1633125/2.

LCM(871/244, 1875/5158) = 1633125/2

LCM of 871/244, 1875/5158

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 871/244,1875/5158

Given numbers are 871/244,1875/5158

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 871,1875

Least Common Multiple of Numerators i.e. LCM of 871,1875 is 1633125.

GCF of Denominators means GCF of 244,5158 as per the given fractions.

GCF of 244,5158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,1875

LCM of Fractions 871/244,1875/5158 is 1633125/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1633125

Least Common Multiple of 871,1875 with GCF Formula

Least Common Multiple of 871,1875 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 871,1875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,1875) = 1

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

GCF(871,1875) x common factors =1 x 1 = 1

LCM(871,1875) = ( 871 × 1875 ) / 1

LCM(871,1875) = 1633125 / 1

LCM(871,1875) = 1633125


Lets's calculate GCF of 244,5158

2 244, 5158
122, 2579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1633125/2

Therefore the LCM of Fractions 871/244,1875/5158 is 1633125/2

Greatest Common Factor of 244,5158 By Matching Biggest Common Factor Method

Greatest Common Factor of 244,5158 By Matching Biggest Common Factor Method

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Factors of 5158

List of positive integer factors of 5158 that divides 5158 without a remainder.

1,2,2579,5158

Greatest Common Factor

We found the factors 244,5158 . The biggest common factor number is the GCF number.
So the greatest common factor 244,5158 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 871/244, 1875/5158

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 871/244, 1875/5158?

Answer: LCM of Numerators as per given numbers 871/244, 1875/5158 is

LCM of Numerators i.e. for 871,1875 is 1633125

GCF of denominators i.e. for 244,5158 is 2.

Thus, LCM of Fractions is 1633125/2.Finally, LCM of Fractions for 871/244, 1875/5158 is 1633125/2.