Least Common Multiple of 25/115, 36/864, 429/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 25/115, 36/864, 429/909 quickly i.e. 128700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/115, 36/864, 429/909 is 128700.

LCM(25/115, 36/864, 429/909) = 128700

LCM of 25/115, 36/864, 429/909

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 25/115,36/864,429/909

Given numbers are 25/115,36/864,429/909

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 25,36,429

Least Common Multiple of Numerators i.e. LCM of 25,36,429 is 128700.

GCF of Denominators means GCF of 115,864,909 as per the given fractions.

GCF of 115,864,909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,36,429

LCM of Fractions 25/115,36/864,429/909 is 128700

3 25, 36, 429
25, 12, 143

∴ So the LCM of the given numbers is 3 x 25 x 12 x 143 = 128700

Least Common Multiple of 25,36,429 with GCF Formula

Least Common Multiple of 25,36,429 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 25,36,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,36,429) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(25,36,429) x common factors =1 x 3 = 3

LCM(25,36,429) = ( 25 × 36 × 429 ) / 3

LCM(25,36,429) = 386100 / 3

LCM(25,36,429) = 128700


Lets's calculate GCF of 115,864,909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128700/1

Therefore the LCM of Fractions 25/115,36/864,429/909 is 128700

Greatest Common Factor of 115,864,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,864,909 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 115,864,909 . The biggest common factor number is the GCF number.
So the greatest common factor 115,864,909 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 25/115, 36/864, 429/909

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 25/115, 36/864, 429/909?

Answer: LCM of Numerators as per given numbers 25/115, 36/864, 429/909 is

LCM of Numerators i.e. for 25,36,429 is 128700

GCF of denominators i.e. for 115,864,909 is 1.

Thus, LCM of Fractions is 128700.Finally, LCM of Fractions for 25/115, 36/864, 429/909 is 128700.