Least Common Multiple of 474/204, 781/471, 847/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/204, 781/471, 847/810 quickly i.e. 9501646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/204, 781/471, 847/810 is 9501646.

LCM(474/204, 781/471, 847/810) = 9501646

LCM of 474/204, 781/471, 847/810

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 474/204,781/471,847/810

Given numbers are 474/204,781/471,847/810

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 474,781,847

Least Common Multiple of Numerators i.e. LCM of 474,781,847 is 28504938.

GCF of Denominators means GCF of 204,471,810 as per the given fractions.

GCF of 204,471,810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,781,847

LCM of Fractions 474/204,781/471,847/810 is 9501646

11 474, 781, 847
474, 71, 77

∴ So the LCM of the given numbers is 11 x 474 x 71 x 77 = 28504938

Least Common Multiple of 474,781,847 with GCF Formula

Least Common Multiple of 474,781,847 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 474,781,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,781,847) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(474,781,847) x common factors =1 x 11 = 11

LCM(474,781,847) = ( 474 × 781 × 847 ) / 11

LCM(474,781,847) = 313554318 / 11

LCM(474,781,847) = 28504938


Lets's calculate GCF of 204,471,810

3 204, 471, 810
68, 157, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28504938/3

Therefore the LCM of Fractions 474/204,781/471,847/810 is 9501646

Greatest Common Factor of 204,471,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,471,810 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 204,471,810 . The biggest common factor number is the GCF number.
So the greatest common factor 204,471,810 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 474/204, 781/471, 847/810

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 474/204, 781/471, 847/810?

Answer: LCM of Numerators as per given numbers 474/204, 781/471, 847/810 is

LCM of Numerators i.e. for 474,781,847 is 28504938

GCF of denominators i.e. for 204,471,810 is 3.

Thus, LCM of Fractions is 9501646.Finally, LCM of Fractions for 474/204, 781/471, 847/810 is 9501646.