Least Common Multiple of 871/476, 592/990, 610/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/476, 592/990, 610/142 quickly i.e. 78633880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/476, 592/990, 610/142 is 78633880.

LCM(871/476, 592/990, 610/142) = 78633880

LCM of 871/476, 592/990, 610/142

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 871/476,592/990,610/142

Given numbers are 871/476,592/990,610/142

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 871,592,610

Least Common Multiple of Numerators i.e. LCM of 871,592,610 is 157267760.

GCF of Denominators means GCF of 476,990,142 as per the given fractions.

GCF of 476,990,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,592,610

LCM of Fractions 871/476,592/990,610/142 is 78633880

2 871, 592, 610
871, 296, 305

∴ So the LCM of the given numbers is 2 x 871 x 296 x 305 = 157267760

Least Common Multiple of 871,592,610 with GCF Formula

Least Common Multiple of 871,592,610 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 871,592,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,592,610) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(871,592,610) x common factors =1 x 2 = 2

LCM(871,592,610) = ( 871 × 592 × 610 ) / 2

LCM(871,592,610) = 314535520 / 2

LCM(871,592,610) = 157267760


Lets's calculate GCF of 476,990,142

2 476, 990, 142
238, 495, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157267760/2

Therefore the LCM of Fractions 871/476,592/990,610/142 is 78633880

Greatest Common Factor of 476,990,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,990,142 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 476,990,142 . The biggest common factor number is the GCF number.
So the greatest common factor 476,990,142 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 871/476, 592/990, 610/142

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 871/476, 592/990, 610/142?

Answer: LCM of Numerators as per given numbers 871/476, 592/990, 610/142 is

LCM of Numerators i.e. for 871,592,610 is 157267760

GCF of denominators i.e. for 476,990,142 is 2.

Thus, LCM of Fractions is 78633880.Finally, LCM of Fractions for 871/476, 592/990, 610/142 is 78633880.