Least Common Multiple of 333/504, 703/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 333/504, 703/321 quickly i.e. 2109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 333/504, 703/321 is 2109.

LCM(333/504, 703/321) = 2109

LCM of 333/504, 703/321

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 333/504,703/321

Given numbers are 333/504,703/321

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 333,703

Least Common Multiple of Numerators i.e. LCM of 333,703 is 6327.

GCF of Denominators means GCF of 504,321 as per the given fractions.

GCF of 504,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 333,703

LCM of Fractions 333/504,703/321 is 2109

37 333, 703
9, 19

∴ So the LCM of the given numbers is 37 x 9 x 19 = 6327

Least Common Multiple of 333,703 with GCF Formula

Least Common Multiple of 333,703 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 333,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,703) = 37

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

GCF(333,703) x common factors =37 x 1 = 37

LCM(333,703) = ( 333 × 703 ) / 37

LCM(333,703) = 234099 / 37

LCM(333,703) = 6327


Lets's calculate GCF of 504,321

3 504, 321
168, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6327/3

Therefore the LCM of Fractions 333/504,703/321 is 2109

Greatest Common Factor of 504,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,321 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 504,321 . The biggest common factor number is the GCF number.
So the greatest common factor 504,321 is 3.


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 333/504, 703/321

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 333/504, 703/321?

Answer: LCM of Numerators as per given numbers 333/504, 703/321 is

LCM of Numerators i.e. for 333,703 is 6327

GCF of denominators i.e. for 504,321 is 3.

Thus, LCM of Fractions is 2109.Finally, LCM of Fractions for 333/504, 703/321 is 2109.