Least Common Multiple of 489/75, 294/4959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/75, 294/4959 quickly i.e. 15974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/75, 294/4959 is 15974.

LCM(489/75, 294/4959) = 15974

LCM of 489/75, 294/4959

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 489/75,294/4959

Given numbers are 489/75,294/4959

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 489,294

Least Common Multiple of Numerators i.e. LCM of 489,294 is 47922.

GCF of Denominators means GCF of 75,4959 as per the given fractions.

GCF of 75,4959 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,294

LCM of Fractions 489/75,294/4959 is 15974

3 489, 294
163, 98

∴ So the LCM of the given numbers is 3 x 163 x 98 = 47922

Least Common Multiple of 489,294 with GCF Formula

Least Common Multiple of 489,294 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 489,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,294) = 3

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

GCF(489,294) x common factors =3 x 1 = 3

LCM(489,294) = ( 489 × 294 ) / 3

LCM(489,294) = 143766 / 3

LCM(489,294) = 47922


Lets's calculate GCF of 75,4959

3 75, 4959
25, 1653

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47922/3

Therefore the LCM of Fractions 489/75,294/4959 is 15974

Greatest Common Factor of 75,4959 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,4959 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 4959

List of positive integer factors of 4959 that divides 4959 without a remainder.

1,3,9,19,29,57,87,171,261,551,1653,4959

Greatest Common Factor

We found the factors 75,4959 . The biggest common factor number is the GCF number.
So the greatest common factor 75,4959 is 3.


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 489/75, 294/4959

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 489/75, 294/4959?

Answer: LCM of Numerators as per given numbers 489/75, 294/4959 is

LCM of Numerators i.e. for 489,294 is 47922

GCF of denominators i.e. for 75,4959 is 3.

Thus, LCM of Fractions is 15974.Finally, LCM of Fractions for 489/75, 294/4959 is 15974.