Least Common Multiple of 504/338, 1214/5897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/338, 1214/5897 quickly i.e. 305928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/338, 1214/5897 is 305928.

LCM(504/338, 1214/5897) = 305928

LCM of 504/338, 1214/5897

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 504/338,1214/5897

Given numbers are 504/338,1214/5897

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 504,1214

Least Common Multiple of Numerators i.e. LCM of 504,1214 is 305928.

GCF of Denominators means GCF of 338,5897 as per the given fractions.

GCF of 338,5897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,1214

LCM of Fractions 504/338,1214/5897 is 305928

2 504, 1214
252, 607

∴ So the LCM of the given numbers is 2 x 252 x 607 = 305928

Least Common Multiple of 504,1214 with GCF Formula

Least Common Multiple of 504,1214 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 504,1214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,1214) = 2

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

GCF(504,1214) x common factors =2 x 1 = 2

LCM(504,1214) = ( 504 × 1214 ) / 2

LCM(504,1214) = 611856 / 2

LCM(504,1214) = 305928


Lets's calculate GCF of 338,5897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305928/1

Therefore the LCM of Fractions 504/338,1214/5897 is 305928

Greatest Common Factor of 338,5897 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,5897 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 5897

List of positive integer factors of 5897 that divides 5897 without a remainder.

1,5897

Greatest Common Factor

We found the factors 338,5897 . The biggest common factor number is the GCF number.
So the greatest common factor 338,5897 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 504/338, 1214/5897

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 504/338, 1214/5897?

Answer: LCM of Numerators as per given numbers 504/338, 1214/5897 is

LCM of Numerators i.e. for 504,1214 is 305928

GCF of denominators i.e. for 338,5897 is 1.

Thus, LCM of Fractions is 305928.Finally, LCM of Fractions for 504/338, 1214/5897 is 305928.