Least Common Multiple of 46/625, 472/204, 259/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/625, 472/204, 259/129 quickly i.e. 2811704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/625, 472/204, 259/129 is 2811704.

LCM(46/625, 472/204, 259/129) = 2811704

LCM of 46/625, 472/204, 259/129

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 46/625,472/204,259/129

Given numbers are 46/625,472/204,259/129

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 46,472,259

Least Common Multiple of Numerators i.e. LCM of 46,472,259 is 2811704.

GCF of Denominators means GCF of 625,204,129 as per the given fractions.

GCF of 625,204,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,472,259

LCM of Fractions 46/625,472/204,259/129 is 2811704

2 46, 472, 259
23, 236, 259

∴ So the LCM of the given numbers is 2 x 23 x 236 x 259 = 2811704

Least Common Multiple of 46,472,259 with GCF Formula

Least Common Multiple of 46,472,259 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 46,472,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,472,259) = 1

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

GCF(46,472,259) x common factors =1 x 2 = 2

LCM(46,472,259) = ( 46 × 472 × 259 ) / 2

LCM(46,472,259) = 5623408 / 2

LCM(46,472,259) = 2811704


Lets's calculate GCF of 625,204,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2811704/1

Therefore the LCM of Fractions 46/625,472/204,259/129 is 2811704

Greatest Common Factor of 625,204,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,204,129 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

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 129

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

1,3,43,129

Greatest Common Factor

We found the factors 625,204,129 . The biggest common factor number is the GCF number.
So the greatest common factor 625,204,129 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/625, 472/204, 259/129

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 46/625, 472/204, 259/129?

Answer: LCM of Numerators as per given numbers 46/625, 472/204, 259/129 is

LCM of Numerators i.e. for 46,472,259 is 2811704

GCF of denominators i.e. for 625,204,129 is 1.

Thus, LCM of Fractions is 2811704.Finally, LCM of Fractions for 46/625, 472/204, 259/129 is 2811704.