Least Common Multiple of 489/63, 564/2894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/63, 564/2894 quickly i.e. 91932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/63, 564/2894 is 91932.

LCM(489/63, 564/2894) = 91932

LCM of 489/63, 564/2894

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 489/63,564/2894

Given numbers are 489/63,564/2894

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 489,564

Least Common Multiple of Numerators i.e. LCM of 489,564 is 91932.

GCF of Denominators means GCF of 63,2894 as per the given fractions.

GCF of 63,2894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,564

LCM of Fractions 489/63,564/2894 is 91932

3 489, 564
163, 188

∴ So the LCM of the given numbers is 3 x 163 x 188 = 91932

Least Common Multiple of 489,564 with GCF Formula

Least Common Multiple of 489,564 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 489,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,564) = 3

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

GCF(489,564) x common factors =3 x 1 = 3

LCM(489,564) = ( 489 × 564 ) / 3

LCM(489,564) = 275796 / 3

LCM(489,564) = 91932


Lets's calculate GCF of 63,2894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91932/1

Therefore the LCM of Fractions 489/63,564/2894 is 91932

Greatest Common Factor of 63,2894 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,2894 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 2894

List of positive integer factors of 2894 that divides 2894 without a remainder.

1,2,1447,2894

Greatest Common Factor

We found the factors 63,2894 . The biggest common factor number is the GCF number.
So the greatest common factor 63,2894 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 489/63, 564/2894

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 489/63, 564/2894?

Answer: LCM of Numerators as per given numbers 489/63, 564/2894 is

LCM of Numerators i.e. for 489,564 is 91932

GCF of denominators i.e. for 63,2894 is 1.

Thus, LCM of Fractions is 91932.Finally, LCM of Fractions for 489/63, 564/2894 is 91932.