Least Common Multiple of 4546/338, 1324/2351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4546/338, 1324/2351 quickly i.e. 3009452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4546/338, 1324/2351 is 3009452.

LCM(4546/338, 1324/2351) = 3009452

LCM of 4546/338, 1324/2351

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 4546/338,1324/2351

Given numbers are 4546/338,1324/2351

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 4546,1324

Least Common Multiple of Numerators i.e. LCM of 4546,1324 is 3009452.

GCF of Denominators means GCF of 338,2351 as per the given fractions.

GCF of 338,2351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4546,1324

LCM of Fractions 4546/338,1324/2351 is 3009452

2 4546, 1324
2273, 662

∴ So the LCM of the given numbers is 2 x 2273 x 662 = 3009452

Least Common Multiple of 4546,1324 with GCF Formula

Least Common Multiple of 4546,1324 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 4546,1324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4546,1324) = 2

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

GCF(4546,1324) x common factors =2 x 1 = 2

LCM(4546,1324) = ( 4546 × 1324 ) / 2

LCM(4546,1324) = 6018904 / 2

LCM(4546,1324) = 3009452


Lets's calculate GCF of 338,2351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3009452/1

Therefore the LCM of Fractions 4546/338,1324/2351 is 3009452

Greatest Common Factor of 338,2351 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,2351 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 2351

List of positive integer factors of 2351 that divides 2351 without a remainder.

1,2351

Greatest Common Factor

We found the factors 338,2351 . The biggest common factor number is the GCF number.
So the greatest common factor 338,2351 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 4546/338, 1324/2351

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 4546/338, 1324/2351?

Answer: LCM of Numerators as per given numbers 4546/338, 1324/2351 is

LCM of Numerators i.e. for 4546,1324 is 3009452

GCF of denominators i.e. for 338,2351 is 1.

Thus, LCM of Fractions is 3009452.Finally, LCM of Fractions for 4546/338, 1324/2351 is 3009452.