Least Common Multiple of 5409/215, 2823/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5409/215, 2823/693 quickly i.e. 5089869 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5409/215, 2823/693 is 5089869.

LCM(5409/215, 2823/693) = 5089869

LCM of 5409/215, 2823/693

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 5409/215,2823/693

Given numbers are 5409/215,2823/693

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 5409,2823

Least Common Multiple of Numerators i.e. LCM of 5409,2823 is 5089869.

GCF of Denominators means GCF of 215,693 as per the given fractions.

GCF of 215,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5409,2823

LCM of Fractions 5409/215,2823/693 is 5089869

3 5409, 2823
1803, 941

∴ So the LCM of the given numbers is 3 x 1803 x 941 = 5089869

Least Common Multiple of 5409,2823 with GCF Formula

Least Common Multiple of 5409,2823 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 5409,2823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5409,2823) = 3

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

GCF(5409,2823) x common factors =3 x 1 = 3

LCM(5409,2823) = ( 5409 × 2823 ) / 3

LCM(5409,2823) = 15269607 / 3

LCM(5409,2823) = 5089869


Lets's calculate GCF of 215,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5089869/1

Therefore the LCM of Fractions 5409/215,2823/693 is 5089869

Greatest Common Factor of 215,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,693 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 215,693 . The biggest common factor number is the GCF number.
So the greatest common factor 215,693 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 5409/215, 2823/693

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 5409/215, 2823/693?

Answer: LCM of Numerators as per given numbers 5409/215, 2823/693 is

LCM of Numerators i.e. for 5409,2823 is 5089869

GCF of denominators i.e. for 215,693 is 1.

Thus, LCM of Fractions is 5089869.Finally, LCM of Fractions for 5409/215, 2823/693 is 5089869.