Least Common Multiple of 4686/645, 6344/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4686/645, 6344/860 quickly i.e. 14863992/215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4686/645, 6344/860 is 14863992/215.

LCM(4686/645, 6344/860) = 14863992/215

LCM of 4686/645, 6344/860

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 4686/645,6344/860

Given numbers are 4686/645,6344/860

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 4686,6344

Least Common Multiple of Numerators i.e. LCM of 4686,6344 is 14863992.

GCF of Denominators means GCF of 645,860 as per the given fractions.

GCF of 645,860 is 215 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4686,6344

LCM of Fractions 4686/645,6344/860 is 14863992/215

2 4686, 6344
2343, 3172

∴ So the LCM of the given numbers is 2 x 2343 x 3172 = 14863992

Least Common Multiple of 4686,6344 with GCF Formula

Least Common Multiple of 4686,6344 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 4686,6344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4686,6344) = 2

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

GCF(4686,6344) x common factors =2 x 1 = 2

LCM(4686,6344) = ( 4686 × 6344 ) / 2

LCM(4686,6344) = 29727984 / 2

LCM(4686,6344) = 14863992


Lets's calculate GCF of 645,860

5 645, 860
43 129, 172
3, 4

∴ So the GCF of the given numbers is 5 x 43 = 215

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14863992/215

Therefore the LCM of Fractions 4686/645,6344/860 is 14863992/215

Greatest Common Factor of 645,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,860 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 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 645,860 . The biggest common factor number is the GCF number.
So the greatest common factor 645,860 is 215.


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 4686/645, 6344/860

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 4686/645, 6344/860?

Answer: LCM of Numerators as per given numbers 4686/645, 6344/860 is

LCM of Numerators i.e. for 4686,6344 is 14863992

GCF of denominators i.e. for 645,860 is 215.

Thus, LCM of Fractions is 14863992/215.Finally, LCM of Fractions for 4686/645, 6344/860 is 14863992/215.