Least Common Multiple of 322/634, 1917/4438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/634, 1917/4438 quickly i.e. 617274/634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/634, 1917/4438 is 617274/634.

LCM(322/634, 1917/4438) = 617274/634

LCM of 322/634, 1917/4438

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 322/634,1917/4438

Given numbers are 322/634,1917/4438

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 322,1917

Least Common Multiple of Numerators i.e. LCM of 322,1917 is 617274.

GCF of Denominators means GCF of 634,4438 as per the given fractions.

GCF of 634,4438 is 634 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,1917

LCM of Fractions 322/634,1917/4438 is 617274/634

Given numbers has no common factors except 1. So, there LCM is their product i.e 617274

Least Common Multiple of 322,1917 with GCF Formula

Least Common Multiple of 322,1917 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 322,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,1917) = 1

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

GCF(322,1917) x common factors =1 x 1 = 1

LCM(322,1917) = ( 322 × 1917 ) / 1

LCM(322,1917) = 617274 / 1

LCM(322,1917) = 617274


Lets's calculate GCF of 634,4438

2 634, 4438
317 317, 2219
1, 7

∴ So the GCF of the given numbers is 2 x 317 = 634

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 617274/634

Therefore the LCM of Fractions 322/634,1917/4438 is 617274/634

Greatest Common Factor of 634,4438 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,4438 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 4438

List of positive integer factors of 4438 that divides 4438 without a remainder.

1,2,7,14,317,634,2219,4438

Greatest Common Factor

We found the factors 634,4438 . The biggest common factor number is the GCF number.
So the greatest common factor 634,4438 is 634.


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 322/634, 1917/4438

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 322/634, 1917/4438?

Answer: LCM of Numerators as per given numbers 322/634, 1917/4438 is

LCM of Numerators i.e. for 322,1917 is 617274

GCF of denominators i.e. for 634,4438 is 634.

Thus, LCM of Fractions is 617274/634.Finally, LCM of Fractions for 322/634, 1917/4438 is 617274/634.