Least Common Multiple of 1563/389, 5211/6894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1563/389, 5211/6894 quickly i.e. 2714931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1563/389, 5211/6894 is 2714931.

LCM(1563/389, 5211/6894) = 2714931

LCM of 1563/389, 5211/6894

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 1563/389,5211/6894

Given numbers are 1563/389,5211/6894

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 1563,5211

Least Common Multiple of Numerators i.e. LCM of 1563,5211 is 2714931.

GCF of Denominators means GCF of 389,6894 as per the given fractions.

GCF of 389,6894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1563,5211

LCM of Fractions 1563/389,5211/6894 is 2714931

3 1563, 5211
521, 1737

∴ So the LCM of the given numbers is 3 x 521 x 1737 = 2714931

Least Common Multiple of 1563,5211 with GCF Formula

Least Common Multiple of 1563,5211 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 1563,5211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1563,5211) = 3

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

GCF(1563,5211) x common factors =3 x 1 = 3

LCM(1563,5211) = ( 1563 × 5211 ) / 3

LCM(1563,5211) = 8144793 / 3

LCM(1563,5211) = 2714931


Lets's calculate GCF of 389,6894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2714931/1

Therefore the LCM of Fractions 1563/389,5211/6894 is 2714931

Greatest Common Factor of 389,6894 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,6894 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 6894

List of positive integer factors of 6894 that divides 6894 without a remainder.

1,2,3,6,9,18,383,766,1149,2298,3447,6894

Greatest Common Factor

We found the factors 389,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 389,6894 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 1563/389, 5211/6894

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 1563/389, 5211/6894?

Answer: LCM of Numerators as per given numbers 1563/389, 5211/6894 is

LCM of Numerators i.e. for 1563,5211 is 2714931

GCF of denominators i.e. for 389,6894 is 1.

Thus, LCM of Fractions is 2714931.Finally, LCM of Fractions for 1563/389, 5211/6894 is 2714931.