Least Common Multiple of 5094/312, 3422/3209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5094/312, 3422/3209 quickly i.e. 8715834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5094/312, 3422/3209 is 8715834.

LCM(5094/312, 3422/3209) = 8715834

LCM of 5094/312, 3422/3209

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 5094/312,3422/3209

Given numbers are 5094/312,3422/3209

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 5094,3422

Least Common Multiple of Numerators i.e. LCM of 5094,3422 is 8715834.

GCF of Denominators means GCF of 312,3209 as per the given fractions.

GCF of 312,3209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5094,3422

LCM of Fractions 5094/312,3422/3209 is 8715834

2 5094, 3422
2547, 1711

∴ So the LCM of the given numbers is 2 x 2547 x 1711 = 8715834

Least Common Multiple of 5094,3422 with GCF Formula

Least Common Multiple of 5094,3422 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 5094,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5094,3422) = 2

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

GCF(5094,3422) x common factors =2 x 1 = 2

LCM(5094,3422) = ( 5094 × 3422 ) / 2

LCM(5094,3422) = 17431668 / 2

LCM(5094,3422) = 8715834


Lets's calculate GCF of 312,3209

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8715834/1

Therefore the LCM of Fractions 5094/312,3422/3209 is 8715834

Greatest Common Factor of 312,3209 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,3209 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Greatest Common Factor

We found the factors 312,3209 . The biggest common factor number is the GCF number.
So the greatest common factor 312,3209 is 1.


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 5094/312, 3422/3209

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 5094/312, 3422/3209?

Answer: LCM of Numerators as per given numbers 5094/312, 3422/3209 is

LCM of Numerators i.e. for 5094,3422 is 8715834

GCF of denominators i.e. for 312,3209 is 1.

Thus, LCM of Fractions is 8715834.Finally, LCM of Fractions for 5094/312, 3422/3209 is 8715834.