Least Common Multiple of 314/323, 3589/5249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/323, 3589/5249 quickly i.e. 1126946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/323, 3589/5249 is 1126946.

LCM(314/323, 3589/5249) = 1126946

LCM of 314/323, 3589/5249

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 314/323,3589/5249

Given numbers are 314/323,3589/5249

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 314,3589

Least Common Multiple of Numerators i.e. LCM of 314,3589 is 1126946.

GCF of Denominators means GCF of 323,5249 as per the given fractions.

GCF of 323,5249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,3589

LCM of Fractions 314/323,3589/5249 is 1126946

Given numbers has no common factors except 1. So, there LCM is their product i.e 1126946

Least Common Multiple of 314,3589 with GCF Formula

Least Common Multiple of 314,3589 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 314,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,3589) = 1

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

GCF(314,3589) x common factors =1 x 1 = 1

LCM(314,3589) = ( 314 × 3589 ) / 1

LCM(314,3589) = 1126946 / 1

LCM(314,3589) = 1126946


Lets's calculate GCF of 323,5249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1126946/1

Therefore the LCM of Fractions 314/323,3589/5249 is 1126946

Greatest Common Factor of 323,5249 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,5249 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 5249

List of positive integer factors of 5249 that divides 5249 without a remainder.

1,29,181,5249

Greatest Common Factor

We found the factors 323,5249 . The biggest common factor number is the GCF number.
So the greatest common factor 323,5249 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 314/323, 3589/5249

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 314/323, 3589/5249?

Answer: LCM of Numerators as per given numbers 314/323, 3589/5249 is

LCM of Numerators i.e. for 314,3589 is 1126946

GCF of denominators i.e. for 323,5249 is 1.

Thus, LCM of Fractions is 1126946.Finally, LCM of Fractions for 314/323, 3589/5249 is 1126946.