Least Common Multiple of 978/56, 634/74, 259/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/56, 634/74, 259/180 quickly i.e. 40148367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/56, 634/74, 259/180 is 40148367.

LCM(978/56, 634/74, 259/180) = 40148367

LCM of 978/56, 634/74, 259/180

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 978/56,634/74,259/180

Given numbers are 978/56,634/74,259/180

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 978,634,259

Least Common Multiple of Numerators i.e. LCM of 978,634,259 is 80296734.

GCF of Denominators means GCF of 56,74,180 as per the given fractions.

GCF of 56,74,180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,634,259

LCM of Fractions 978/56,634/74,259/180 is 40148367

2 978, 634, 259
489, 317, 259

∴ So the LCM of the given numbers is 2 x 489 x 317 x 259 = 80296734

Least Common Multiple of 978,634,259 with GCF Formula

Least Common Multiple of 978,634,259 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 978,634,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,634,259) = 1

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

GCF(978,634,259) x common factors =1 x 2 = 2

LCM(978,634,259) = ( 978 × 634 × 259 ) / 2

LCM(978,634,259) = 160593468 / 2

LCM(978,634,259) = 80296734


Lets's calculate GCF of 56,74,180

2 56, 74, 180
28, 37, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80296734/2

Therefore the LCM of Fractions 978/56,634/74,259/180 is 40148367

Greatest Common Factor of 56,74,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,74,180 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 56,74,180 . The biggest common factor number is the GCF number.
So the greatest common factor 56,74,180 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 978/56, 634/74, 259/180

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 978/56, 634/74, 259/180?

Answer: LCM of Numerators as per given numbers 978/56, 634/74, 259/180 is

LCM of Numerators i.e. for 978,634,259 is 80296734

GCF of denominators i.e. for 56,74,180 is 2.

Thus, LCM of Fractions is 40148367.Finally, LCM of Fractions for 978/56, 634/74, 259/180 is 40148367.