Least Common Multiple of 276/198, 917/930, 722/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/198, 917/930, 722/898 quickly i.e. 45683106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/198, 917/930, 722/898 is 45683106.

LCM(276/198, 917/930, 722/898) = 45683106

LCM of 276/198, 917/930, 722/898

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 276/198,917/930,722/898

Given numbers are 276/198,917/930,722/898

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 276,917,722

Least Common Multiple of Numerators i.e. LCM of 276,917,722 is 91366212.

GCF of Denominators means GCF of 198,930,898 as per the given fractions.

GCF of 198,930,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,917,722

LCM of Fractions 276/198,917/930,722/898 is 45683106

2 276, 917, 722
138, 917, 361

∴ So the LCM of the given numbers is 2 x 138 x 917 x 361 = 91366212

Least Common Multiple of 276,917,722 with GCF Formula

Least Common Multiple of 276,917,722 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 276,917,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,917,722) = 1

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

GCF(276,917,722) x common factors =1 x 2 = 2

LCM(276,917,722) = ( 276 × 917 × 722 ) / 2

LCM(276,917,722) = 182732424 / 2

LCM(276,917,722) = 91366212


Lets's calculate GCF of 198,930,898

2 198, 930, 898
99, 465, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91366212/2

Therefore the LCM of Fractions 276/198,917/930,722/898 is 45683106

Greatest Common Factor of 198,930,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,930,898 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 198,930,898 . The biggest common factor number is the GCF number.
So the greatest common factor 198,930,898 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 276/198, 917/930, 722/898

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 276/198, 917/930, 722/898?

Answer: LCM of Numerators as per given numbers 276/198, 917/930, 722/898 is

LCM of Numerators i.e. for 276,917,722 is 91366212

GCF of denominators i.e. for 198,930,898 is 2.

Thus, LCM of Fractions is 45683106.Finally, LCM of Fractions for 276/198, 917/930, 722/898 is 45683106.