Least Common Multiple of 478/73, 859/78, 618/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/73, 859/78, 618/330 quickly i.e. 126876018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/73, 859/78, 618/330 is 126876018.

LCM(478/73, 859/78, 618/330) = 126876018

LCM of 478/73, 859/78, 618/330

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 478/73,859/78,618/330

Given numbers are 478/73,859/78,618/330

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 478,859,618

Least Common Multiple of Numerators i.e. LCM of 478,859,618 is 126876018.

GCF of Denominators means GCF of 73,78,330 as per the given fractions.

GCF of 73,78,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,859,618

LCM of Fractions 478/73,859/78,618/330 is 126876018

2 478, 859, 618
239, 859, 309

∴ So the LCM of the given numbers is 2 x 239 x 859 x 309 = 126876018

Least Common Multiple of 478,859,618 with GCF Formula

Least Common Multiple of 478,859,618 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 478,859,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,859,618) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(478,859,618) x common factors =1 x 2 = 2

LCM(478,859,618) = ( 478 × 859 × 618 ) / 2

LCM(478,859,618) = 253752036 / 2

LCM(478,859,618) = 126876018


Lets's calculate GCF of 73,78,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126876018/1

Therefore the LCM of Fractions 478/73,859/78,618/330 is 126876018

Greatest Common Factor of 73,78,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,78,330 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 73,78,330 . The biggest common factor number is the GCF number.
So the greatest common factor 73,78,330 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 478/73, 859/78, 618/330

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 478/73, 859/78, 618/330?

Answer: LCM of Numerators as per given numbers 478/73, 859/78, 618/330 is

LCM of Numerators i.e. for 478,859,618 is 126876018

GCF of denominators i.e. for 73,78,330 is 1.

Thus, LCM of Fractions is 126876018.Finally, LCM of Fractions for 478/73, 859/78, 618/330 is 126876018.