Least Common Multiple of 116/645, 4324/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/645, 4324/864 quickly i.e. 125396/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/645, 4324/864 is 125396/3.

LCM(116/645, 4324/864) = 125396/3

LCM of 116/645, 4324/864

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 116/645,4324/864

Given numbers are 116/645,4324/864

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 116,4324

Least Common Multiple of Numerators i.e. LCM of 116,4324 is 125396.

GCF of Denominators means GCF of 645,864 as per the given fractions.

GCF of 645,864 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,4324

LCM of Fractions 116/645,4324/864 is 125396/3

2 116, 4324
2 58, 2162
29, 1081

∴ So the LCM of the given numbers is 2 x 2 x 29 x 1081 = 125396

Least Common Multiple of 116,4324 with GCF Formula

Least Common Multiple of 116,4324 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 116,4324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,4324) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(116,4324) x common factors =4 x 1 = 4

LCM(116,4324) = ( 116 × 4324 ) / 4

LCM(116,4324) = 501584 / 4

LCM(116,4324) = 125396


Lets's calculate GCF of 645,864

3 645, 864
215, 288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125396/3

Therefore the LCM of Fractions 116/645,4324/864 is 125396/3

Greatest Common Factor of 645,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,864 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

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

Greatest Common Factor

We found the factors 645,864 . The biggest common factor number is the GCF number.
So the greatest common factor 645,864 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 116/645, 4324/864

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 116/645, 4324/864?

Answer: LCM of Numerators as per given numbers 116/645, 4324/864 is

LCM of Numerators i.e. for 116,4324 is 125396

GCF of denominators i.e. for 645,864 is 3.

Thus, LCM of Fractions is 125396/3.Finally, LCM of Fractions for 116/645, 4324/864 is 125396/3.