Least Common Multiple of 28/574, 547/360, 135/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/574, 547/360, 135/482 quickly i.e. 1033830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/574, 547/360, 135/482 is 1033830.

LCM(28/574, 547/360, 135/482) = 1033830

LCM of 28/574, 547/360, 135/482

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 28/574,547/360,135/482

Given numbers are 28/574,547/360,135/482

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 28,547,135

Least Common Multiple of Numerators i.e. LCM of 28,547,135 is 2067660.

GCF of Denominators means GCF of 574,360,482 as per the given fractions.

GCF of 574,360,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,547,135

LCM of Fractions 28/574,547/360,135/482 is 1033830

Given numbers has no common factors except 1. So, there LCM is their product i.e 2067660

Least Common Multiple of 28,547,135 with GCF Formula

Least Common Multiple of 28,547,135 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 28,547,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,547,135) = 1

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

GCF(28,547,135) x common factors =1 x 1 = 1

LCM(28,547,135) = ( 28 × 547 × 135 ) / 1

LCM(28,547,135) = 2067660 / 1

LCM(28,547,135) = 2067660


Lets's calculate GCF of 574,360,482

2 574, 360, 482
287, 180, 241

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2067660/2

Therefore the LCM of Fractions 28/574,547/360,135/482 is 1033830

Greatest Common Factor of 574,360,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,360,482 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 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 574,360,482 . The biggest common factor number is the GCF number.
So the greatest common factor 574,360,482 is 2.


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 28/574, 547/360, 135/482

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 28/574, 547/360, 135/482?

Answer: LCM of Numerators as per given numbers 28/574, 547/360, 135/482 is

LCM of Numerators i.e. for 28,547,135 is 2067660

GCF of denominators i.e. for 574,360,482 is 2.

Thus, LCM of Fractions is 1033830.Finally, LCM of Fractions for 28/574, 547/360, 135/482 is 1033830.