Least Common Multiple of 813/955, 237/711, 978/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/955, 237/711, 978/112 quickly i.e. 20938002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/955, 237/711, 978/112 is 20938002.

LCM(813/955, 237/711, 978/112) = 20938002

LCM of 813/955, 237/711, 978/112

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 813/955,237/711,978/112

Given numbers are 813/955,237/711,978/112

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 813,237,978

Least Common Multiple of Numerators i.e. LCM of 813,237,978 is 20938002.

GCF of Denominators means GCF of 955,711,112 as per the given fractions.

GCF of 955,711,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,237,978

LCM of Fractions 813/955,237/711,978/112 is 20938002

3 813, 237, 978
271, 79, 326

∴ So the LCM of the given numbers is 3 x 271 x 79 x 326 = 20938002

Least Common Multiple of 813,237,978 with GCF Formula

Least Common Multiple of 813,237,978 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 813,237,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,237,978) = 3

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

GCF(813,237,978) x common factors =3 x 3 = 9

LCM(813,237,978) = ( 813 × 237 × 978 ) / 9

LCM(813,237,978) = 188442018 / 9

LCM(813,237,978) = 20938002


Lets's calculate GCF of 955,711,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20938002/1

Therefore the LCM of Fractions 813/955,237/711,978/112 is 20938002

Greatest Common Factor of 955,711,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,711,112 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 955,711,112 . The biggest common factor number is the GCF number.
So the greatest common factor 955,711,112 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 813/955, 237/711, 978/112

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 813/955, 237/711, 978/112?

Answer: LCM of Numerators as per given numbers 813/955, 237/711, 978/112 is

LCM of Numerators i.e. for 813,237,978 is 20938002

GCF of denominators i.e. for 955,711,112 is 1.

Thus, LCM of Fractions is 20938002.Finally, LCM of Fractions for 813/955, 237/711, 978/112 is 20938002.