Least Common Multiple of 28/219, 543/97, 821/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/219, 543/97, 821/583 quickly i.e. 12482484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/219, 543/97, 821/583 is 12482484.

LCM(28/219, 543/97, 821/583) = 12482484

LCM of 28/219, 543/97, 821/583

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 28/219,543/97,821/583

Given numbers are 28/219,543/97,821/583

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 28,543,821

Least Common Multiple of Numerators i.e. LCM of 28,543,821 is 12482484.

GCF of Denominators means GCF of 219,97,583 as per the given fractions.

GCF of 219,97,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,543,821

LCM of Fractions 28/219,543/97,821/583 is 12482484

Given numbers has no common factors except 1. So, there LCM is their product i.e 12482484

Least Common Multiple of 28,543,821 with GCF Formula

Least Common Multiple of 28,543,821 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 28,543,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,543,821) = 1

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

GCF(28,543,821) x common factors =1 x 1 = 1

LCM(28,543,821) = ( 28 × 543 × 821 ) / 1

LCM(28,543,821) = 12482484 / 1

LCM(28,543,821) = 12482484


Lets's calculate GCF of 219,97,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12482484/1

Therefore the LCM of Fractions 28/219,543/97,821/583 is 12482484

Greatest Common Factor of 219,97,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,97,583 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 219,97,583 . The biggest common factor number is the GCF number.
So the greatest common factor 219,97,583 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 28/219, 543/97, 821/583

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 28/219, 543/97, 821/583?

Answer: LCM of Numerators as per given numbers 28/219, 543/97, 821/583 is

LCM of Numerators i.e. for 28,543,821 is 12482484

GCF of denominators i.e. for 219,97,583 is 1.

Thus, LCM of Fractions is 12482484.Finally, LCM of Fractions for 28/219, 543/97, 821/583 is 12482484.