Least Common Multiple of 4512/574, 5109/3220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4512/574, 5109/3220 quickly i.e. 7683936/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4512/574, 5109/3220 is 7683936/14.

LCM(4512/574, 5109/3220) = 7683936/14

LCM of 4512/574, 5109/3220

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 4512/574,5109/3220

Given numbers are 4512/574,5109/3220

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 4512,5109

Least Common Multiple of Numerators i.e. LCM of 4512,5109 is 7683936.

GCF of Denominators means GCF of 574,3220 as per the given fractions.

GCF of 574,3220 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4512,5109

LCM of Fractions 4512/574,5109/3220 is 7683936/14

3 4512, 5109
1504, 1703

∴ So the LCM of the given numbers is 3 x 1504 x 1703 = 7683936

Least Common Multiple of 4512,5109 with GCF Formula

Least Common Multiple of 4512,5109 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 4512,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4512,5109) = 3

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

GCF(4512,5109) x common factors =3 x 1 = 3

LCM(4512,5109) = ( 4512 × 5109 ) / 3

LCM(4512,5109) = 23051808 / 3

LCM(4512,5109) = 7683936


Lets's calculate GCF of 574,3220

2 574, 3220
7 287, 1610
41, 230

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7683936/14

Therefore the LCM of Fractions 4512/574,5109/3220 is 7683936/14

Greatest Common Factor of 574,3220 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,3220 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 3220

List of positive integer factors of 3220 that divides 3220 without a remainder.

1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220

Greatest Common Factor

We found the factors 574,3220 . The biggest common factor number is the GCF number.
So the greatest common factor 574,3220 is 14.


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 4512/574, 5109/3220

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 4512/574, 5109/3220?

Answer: LCM of Numerators as per given numbers 4512/574, 5109/3220 is

LCM of Numerators i.e. for 4512,5109 is 7683936

GCF of denominators i.e. for 574,3220 is 14.

Thus, LCM of Fractions is 7683936/14.Finally, LCM of Fractions for 4512/574, 5109/3220 is 7683936/14.