Least Common Multiple of 276/846, 489/948, 293/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/846, 489/948, 293/578 quickly i.e. 6590742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/846, 489/948, 293/578 is 6590742.

LCM(276/846, 489/948, 293/578) = 6590742

LCM of 276/846, 489/948, 293/578

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 276/846,489/948,293/578

Given numbers are 276/846,489/948,293/578

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 276,489,293

Least Common Multiple of Numerators i.e. LCM of 276,489,293 is 13181484.

GCF of Denominators means GCF of 846,948,578 as per the given fractions.

GCF of 846,948,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,489,293

LCM of Fractions 276/846,489/948,293/578 is 6590742

3 276, 489, 293
92, 163, 293

∴ So the LCM of the given numbers is 3 x 92 x 163 x 293 = 13181484

Least Common Multiple of 276,489,293 with GCF Formula

Least Common Multiple of 276,489,293 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 276,489,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,489,293) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(276,489,293) x common factors =1 x 3 = 3

LCM(276,489,293) = ( 276 × 489 × 293 ) / 3

LCM(276,489,293) = 39544452 / 3

LCM(276,489,293) = 13181484


Lets's calculate GCF of 846,948,578

2 846, 948, 578
423, 474, 289

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13181484/2

Therefore the LCM of Fractions 276/846,489/948,293/578 is 6590742

Greatest Common Factor of 846,948,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,948,578 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 846,948,578 . The biggest common factor number is the GCF number.
So the greatest common factor 846,948,578 is 2.


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 276/846, 489/948, 293/578

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 276/846, 489/948, 293/578?

Answer: LCM of Numerators as per given numbers 276/846, 489/948, 293/578 is

LCM of Numerators i.e. for 276,489,293 is 13181484

GCF of denominators i.e. for 846,948,578 is 2.

Thus, LCM of Fractions is 6590742.Finally, LCM of Fractions for 276/846, 489/948, 293/578 is 6590742.