Least Common Multiple of 5329/644, 6328/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5329/644, 6328/224 quickly i.e. 1204354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5329/644, 6328/224 is 1204354.

LCM(5329/644, 6328/224) = 1204354

LCM of 5329/644, 6328/224

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 5329/644,6328/224

Given numbers are 5329/644,6328/224

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 5329,6328

Least Common Multiple of Numerators i.e. LCM of 5329,6328 is 33721912.

GCF of Denominators means GCF of 644,224 as per the given fractions.

GCF of 644,224 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5329,6328

LCM of Fractions 5329/644,6328/224 is 1204354

Given numbers has no common factors except 1. So, there LCM is their product i.e 33721912

Least Common Multiple of 5329,6328 with GCF Formula

Least Common Multiple of 5329,6328 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 5329,6328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5329,6328) = 1

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

GCF(5329,6328) x common factors =1 x 1 = 1

LCM(5329,6328) = ( 5329 × 6328 ) / 1

LCM(5329,6328) = 33721912 / 1

LCM(5329,6328) = 33721912


Lets's calculate GCF of 644,224

2 644, 224
2 322, 112
7 161, 56
23, 8

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33721912/28

Therefore the LCM of Fractions 5329/644,6328/224 is 1204354

Greatest Common Factor of 644,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,224 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 644,224 . The biggest common factor number is the GCF number.
So the greatest common factor 644,224 is 28.


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 5329/644, 6328/224

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 5329/644, 6328/224?

Answer: LCM of Numerators as per given numbers 5329/644, 6328/224 is

LCM of Numerators i.e. for 5329,6328 is 33721912

GCF of denominators i.e. for 644,224 is 28.

Thus, LCM of Fractions is 1204354.Finally, LCM of Fractions for 5329/644, 6328/224 is 1204354.