Least Common Multiple of 844/508, 774/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 844/508, 774/198 quickly i.e. 163314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/508, 774/198 is 163314.

LCM(844/508, 774/198) = 163314

LCM of 844/508, 774/198

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 844/508,774/198

Given numbers are 844/508,774/198

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 844,774

Least Common Multiple of Numerators i.e. LCM of 844,774 is 326628.

GCF of Denominators means GCF of 508,198 as per the given fractions.

GCF of 508,198 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,774

LCM of Fractions 844/508,774/198 is 163314

2 844, 774
422, 387

∴ So the LCM of the given numbers is 2 x 422 x 387 = 326628

Least Common Multiple of 844,774 with GCF Formula

Least Common Multiple of 844,774 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 844,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,774) = 2

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

GCF(844,774) x common factors =2 x 1 = 2

LCM(844,774) = ( 844 × 774 ) / 2

LCM(844,774) = 653256 / 2

LCM(844,774) = 326628


Lets's calculate GCF of 508,198

2 508, 198
254, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326628/2

Therefore the LCM of Fractions 844/508,774/198 is 163314

Greatest Common Factor of 508,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,198 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

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

Greatest Common Factor

We found the factors 508,198 . The biggest common factor number is the GCF number.
So the greatest common factor 508,198 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 844/508, 774/198

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 844/508, 774/198?

Answer: LCM of Numerators as per given numbers 844/508, 774/198 is

LCM of Numerators i.e. for 844,774 is 326628

GCF of denominators i.e. for 508,198 is 2.

Thus, LCM of Fractions is 163314.Finally, LCM of Fractions for 844/508, 774/198 is 163314.