Least Common Multiple of 28/574, 215/713, 280/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/574, 215/713, 280/597 quickly i.e. 12040 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, 215/713, 280/597 is 12040.

LCM(28/574, 215/713, 280/597) = 12040

LCM of 28/574, 215/713, 280/597

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 28/574,215/713,280/597

Given numbers are 28/574,215/713,280/597

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 28,215,280

Least Common Multiple of Numerators i.e. LCM of 28,215,280 is 12040.

GCF of Denominators means GCF of 574,713,597 as per the given fractions.

GCF of 574,713,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,215,280

LCM of Fractions 28/574,215/713,280/597 is 12040

2 28, 215, 280
2 14, 215, 140
5 7, 215, 70
7 7, 43, 14
1, 43, 2

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 1 x 43 x 2 = 12040

Least Common Multiple of 28,215,280 with GCF Formula

Least Common Multiple of 28,215,280 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 28,215,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,215,280) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(28,215,280) x common factors =1 x 140 = 140

LCM(28,215,280) = ( 28 × 215 × 280 ) / 140

LCM(28,215,280) = 1685600 / 140

LCM(28,215,280) = 12040


Lets's calculate GCF of 574,713,597

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12040/1

Therefore the LCM of Fractions 28/574,215/713,280/597 is 12040

Greatest Common Factor of 574,713,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,713,597 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 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 574,713,597 . The biggest common factor number is the GCF number.
So the greatest common factor 574,713,597 is 1.


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, 215/713, 280/597

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, 215/713, 280/597?

Answer: LCM of Numerators as per given numbers 28/574, 215/713, 280/597 is

LCM of Numerators i.e. for 28,215,280 is 12040

GCF of denominators i.e. for 574,713,597 is 1.

Thus, LCM of Fractions is 12040.Finally, LCM of Fractions for 28/574, 215/713, 280/597 is 12040.