Least Common Multiple of 504/129, 322/358, 408/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/129, 322/358, 408/475 quickly i.e. 197064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/129, 322/358, 408/475 is 197064.

LCM(504/129, 322/358, 408/475) = 197064

LCM of 504/129, 322/358, 408/475

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 504/129,322/358,408/475

Given numbers are 504/129,322/358,408/475

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 504,322,408

Least Common Multiple of Numerators i.e. LCM of 504,322,408 is 197064.

GCF of Denominators means GCF of 129,358,475 as per the given fractions.

GCF of 129,358,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,322,408

LCM of Fractions 504/129,322/358,408/475 is 197064

2 504, 322, 408
2 252, 161, 204
2 126, 161, 102
3 63, 161, 51
7 21, 161, 17
3, 23, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 3 x 23 x 17 = 197064

Least Common Multiple of 504,322,408 with GCF Formula

Least Common Multiple of 504,322,408 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 504,322,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,322,408) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(504,322,408) x common factors =2 x 168 = 336

LCM(504,322,408) = ( 504 × 322 × 408 ) / 336

LCM(504,322,408) = 66213504 / 336

LCM(504,322,408) = 197064


Lets's calculate GCF of 129,358,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197064/1

Therefore the LCM of Fractions 504/129,322/358,408/475 is 197064

Greatest Common Factor of 129,358,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,358,475 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 129,358,475 . The biggest common factor number is the GCF number.
So the greatest common factor 129,358,475 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 504/129, 322/358, 408/475

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 504/129, 322/358, 408/475?

Answer: LCM of Numerators as per given numbers 504/129, 322/358, 408/475 is

LCM of Numerators i.e. for 504,322,408 is 197064

GCF of denominators i.e. for 129,358,475 is 1.

Thus, LCM of Fractions is 197064.Finally, LCM of Fractions for 504/129, 322/358, 408/475 is 197064.