Least Common Multiple of 978/663, 858/246, 285/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/663, 858/246, 285/972 quickly i.e. 4428710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/663, 858/246, 285/972 is 4428710.

LCM(978/663, 858/246, 285/972) = 4428710

LCM of 978/663, 858/246, 285/972

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 978/663,858/246,285/972

Given numbers are 978/663,858/246,285/972

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 978,858,285

Least Common Multiple of Numerators i.e. LCM of 978,858,285 is 13286130.

GCF of Denominators means GCF of 663,246,972 as per the given fractions.

GCF of 663,246,972 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,858,285

LCM of Fractions 978/663,858/246,285/972 is 4428710

2 978, 858, 285
3 489, 429, 285
163, 143, 95

∴ So the LCM of the given numbers is 2 x 3 x 163 x 143 x 95 = 13286130

Least Common Multiple of 978,858,285 with GCF Formula

Least Common Multiple of 978,858,285 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 978,858,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,858,285) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(978,858,285) x common factors =3 x 6 = 18

LCM(978,858,285) = ( 978 × 858 × 285 ) / 18

LCM(978,858,285) = 239150340 / 18

LCM(978,858,285) = 13286130


Lets's calculate GCF of 663,246,972

3 663, 246, 972
221, 82, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13286130/3

Therefore the LCM of Fractions 978/663,858/246,285/972 is 4428710

Greatest Common Factor of 663,246,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,246,972 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 663,246,972 . The biggest common factor number is the GCF number.
So the greatest common factor 663,246,972 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 978/663, 858/246, 285/972

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 978/663, 858/246, 285/972?

Answer: LCM of Numerators as per given numbers 978/663, 858/246, 285/972 is

LCM of Numerators i.e. for 978,858,285 is 13286130

GCF of denominators i.e. for 663,246,972 is 3.

Thus, LCM of Fractions is 4428710.Finally, LCM of Fractions for 978/663, 858/246, 285/972 is 4428710.