Least Common Multiple of 472/96, 974/46, 709/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/96, 974/46, 709/866 quickly i.e. 81486788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/96, 974/46, 709/866 is 81486788.

LCM(472/96, 974/46, 709/866) = 81486788

LCM of 472/96, 974/46, 709/866

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 472/96,974/46,709/866

Given numbers are 472/96,974/46,709/866

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 472,974,709

Least Common Multiple of Numerators i.e. LCM of 472,974,709 is 162973576.

GCF of Denominators means GCF of 96,46,866 as per the given fractions.

GCF of 96,46,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,974,709

LCM of Fractions 472/96,974/46,709/866 is 81486788

2 472, 974, 709
236, 487, 709

∴ So the LCM of the given numbers is 2 x 236 x 487 x 709 = 162973576

Least Common Multiple of 472,974,709 with GCF Formula

Least Common Multiple of 472,974,709 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 472,974,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,974,709) = 1

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

GCF(472,974,709) x common factors =1 x 2 = 2

LCM(472,974,709) = ( 472 × 974 × 709 ) / 2

LCM(472,974,709) = 325947152 / 2

LCM(472,974,709) = 162973576


Lets's calculate GCF of 96,46,866

2 96, 46, 866
48, 23, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162973576/2

Therefore the LCM of Fractions 472/96,974/46,709/866 is 81486788

Greatest Common Factor of 96,46,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,46,866 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 96,46,866 . The biggest common factor number is the GCF number.
So the greatest common factor 96,46,866 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 472/96, 974/46, 709/866

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 472/96, 974/46, 709/866?

Answer: LCM of Numerators as per given numbers 472/96, 974/46, 709/866 is

LCM of Numerators i.e. for 472,974,709 is 162973576

GCF of denominators i.e. for 96,46,866 is 2.

Thus, LCM of Fractions is 81486788.Finally, LCM of Fractions for 472/96, 974/46, 709/866 is 81486788.