Least Common Multiple of 2297/559, 2409/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2297/559, 2409/468 quickly i.e. 5533473/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2297/559, 2409/468 is 5533473/13.

LCM(2297/559, 2409/468) = 5533473/13

LCM of 2297/559, 2409/468

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 2297/559,2409/468

Given numbers are 2297/559,2409/468

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 2297,2409

Least Common Multiple of Numerators i.e. LCM of 2297,2409 is 5533473.

GCF of Denominators means GCF of 559,468 as per the given fractions.

GCF of 559,468 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2297,2409

LCM of Fractions 2297/559,2409/468 is 5533473/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 5533473

Least Common Multiple of 2297,2409 with GCF Formula

Least Common Multiple of 2297,2409 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 2297,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2297,2409) = 1

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

GCF(2297,2409) x common factors =1 x 1 = 1

LCM(2297,2409) = ( 2297 × 2409 ) / 1

LCM(2297,2409) = 5533473 / 1

LCM(2297,2409) = 5533473


Lets's calculate GCF of 559,468

13 559, 468
43, 36

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5533473/13

Therefore the LCM of Fractions 2297/559,2409/468 is 5533473/13

Greatest Common Factor of 559,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,468 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 559,468 . The biggest common factor number is the GCF number.
So the greatest common factor 559,468 is 13.


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 2297/559, 2409/468

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 2297/559, 2409/468?

Answer: LCM of Numerators as per given numbers 2297/559, 2409/468 is

LCM of Numerators i.e. for 2297,2409 is 5533473

GCF of denominators i.e. for 559,468 is 13.

Thus, LCM of Fractions is 5533473/13.Finally, LCM of Fractions for 2297/559, 2409/468 is 5533473/13.