Least Common Multiple of 518/804, 661/204, 122/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/804, 661/204, 122/470 quickly i.e. 10443139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/804, 661/204, 122/470 is 10443139.

LCM(518/804, 661/204, 122/470) = 10443139

LCM of 518/804, 661/204, 122/470

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 518/804,661/204,122/470

Given numbers are 518/804,661/204,122/470

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 518,661,122

Least Common Multiple of Numerators i.e. LCM of 518,661,122 is 20886278.

GCF of Denominators means GCF of 804,204,470 as per the given fractions.

GCF of 804,204,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,661,122

LCM of Fractions 518/804,661/204,122/470 is 10443139

2 518, 661, 122
259, 661, 61

∴ So the LCM of the given numbers is 2 x 259 x 661 x 61 = 20886278

Least Common Multiple of 518,661,122 with GCF Formula

Least Common Multiple of 518,661,122 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 518,661,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,661,122) = 1

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

GCF(518,661,122) x common factors =1 x 2 = 2

LCM(518,661,122) = ( 518 × 661 × 122 ) / 2

LCM(518,661,122) = 41772556 / 2

LCM(518,661,122) = 20886278


Lets's calculate GCF of 804,204,470

2 804, 204, 470
402, 102, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20886278/2

Therefore the LCM of Fractions 518/804,661/204,122/470 is 10443139

Greatest Common Factor of 804,204,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,204,470 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

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 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 804,204,470 . The biggest common factor number is the GCF number.
So the greatest common factor 804,204,470 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 518/804, 661/204, 122/470

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 518/804, 661/204, 122/470?

Answer: LCM of Numerators as per given numbers 518/804, 661/204, 122/470 is

LCM of Numerators i.e. for 518,661,122 is 20886278

GCF of denominators i.e. for 804,204,470 is 2.

Thus, LCM of Fractions is 10443139.Finally, LCM of Fractions for 518/804, 661/204, 122/470 is 10443139.