Least Common Multiple of 871/98, 546/50, 302/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/98, 546/50, 302/522 quickly i.e. 2761941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/98, 546/50, 302/522 is 2761941.

LCM(871/98, 546/50, 302/522) = 2761941

LCM of 871/98, 546/50, 302/522

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 871/98,546/50,302/522

Given numbers are 871/98,546/50,302/522

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 871,546,302

Least Common Multiple of Numerators i.e. LCM of 871,546,302 is 5523882.

GCF of Denominators means GCF of 98,50,522 as per the given fractions.

GCF of 98,50,522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,546,302

LCM of Fractions 871/98,546/50,302/522 is 2761941

2 871, 546, 302
13 871, 273, 151
67, 21, 151

∴ So the LCM of the given numbers is 2 x 13 x 67 x 21 x 151 = 5523882

Least Common Multiple of 871,546,302 with GCF Formula

Least Common Multiple of 871,546,302 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 871,546,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,546,302) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(871,546,302) x common factors =1 x 26 = 26

LCM(871,546,302) = ( 871 × 546 × 302 ) / 26

LCM(871,546,302) = 143620932 / 26

LCM(871,546,302) = 5523882


Lets's calculate GCF of 98,50,522

2 98, 50, 522
49, 25, 261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5523882/2

Therefore the LCM of Fractions 871/98,546/50,302/522 is 2761941

Greatest Common Factor of 98,50,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,50,522 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 98,50,522 . The biggest common factor number is the GCF number.
So the greatest common factor 98,50,522 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 871/98, 546/50, 302/522

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 871/98, 546/50, 302/522?

Answer: LCM of Numerators as per given numbers 871/98, 546/50, 302/522 is

LCM of Numerators i.e. for 871,546,302 is 5523882

GCF of denominators i.e. for 98,50,522 is 2.

Thus, LCM of Fractions is 2761941.Finally, LCM of Fractions for 871/98, 546/50, 302/522 is 2761941.