Least Common Multiple of 7204/507, 6444/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7204/507, 6444/753 quickly i.e. 3868548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7204/507, 6444/753 is 3868548.

LCM(7204/507, 6444/753) = 3868548

LCM of 7204/507, 6444/753

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 7204/507,6444/753

Given numbers are 7204/507,6444/753

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 7204,6444

Least Common Multiple of Numerators i.e. LCM of 7204,6444 is 11605644.

GCF of Denominators means GCF of 507,753 as per the given fractions.

GCF of 507,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7204,6444

LCM of Fractions 7204/507,6444/753 is 3868548

2 7204, 6444
2 3602, 3222
1801, 1611

∴ So the LCM of the given numbers is 2 x 2 x 1801 x 1611 = 11605644

Least Common Multiple of 7204,6444 with GCF Formula

Least Common Multiple of 7204,6444 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 7204,6444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7204,6444) = 4

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

GCF(7204,6444) x common factors =4 x 1 = 4

LCM(7204,6444) = ( 7204 × 6444 ) / 4

LCM(7204,6444) = 46422576 / 4

LCM(7204,6444) = 11605644


Lets's calculate GCF of 507,753

3 507, 753
169, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11605644/3

Therefore the LCM of Fractions 7204/507,6444/753 is 3868548

Greatest Common Factor of 507,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,753 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 507,753 . The biggest common factor number is the GCF number.
So the greatest common factor 507,753 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 7204/507, 6444/753

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 7204/507, 6444/753?

Answer: LCM of Numerators as per given numbers 7204/507, 6444/753 is

LCM of Numerators i.e. for 7204,6444 is 11605644

GCF of denominators i.e. for 507,753 is 3.

Thus, LCM of Fractions is 3868548.Finally, LCM of Fractions for 7204/507, 6444/753 is 3868548.