Least Common Multiple of 6686/750, 5600/5199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6686/750, 5600/5199 quickly i.e. 18720800/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6686/750, 5600/5199 is 18720800/3.

LCM(6686/750, 5600/5199) = 18720800/3

LCM of 6686/750, 5600/5199

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 6686/750,5600/5199

Given numbers are 6686/750,5600/5199

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 6686,5600

Least Common Multiple of Numerators i.e. LCM of 6686,5600 is 18720800.

GCF of Denominators means GCF of 750,5199 as per the given fractions.

GCF of 750,5199 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6686,5600

LCM of Fractions 6686/750,5600/5199 is 18720800/3

2 6686, 5600
3343, 2800

∴ So the LCM of the given numbers is 2 x 3343 x 2800 = 18720800

Least Common Multiple of 6686,5600 with GCF Formula

Least Common Multiple of 6686,5600 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 6686,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6686,5600) = 2

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

GCF(6686,5600) x common factors =2 x 1 = 2

LCM(6686,5600) = ( 6686 × 5600 ) / 2

LCM(6686,5600) = 37441600 / 2

LCM(6686,5600) = 18720800


Lets's calculate GCF of 750,5199

3 750, 5199
250, 1733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18720800/3

Therefore the LCM of Fractions 6686/750,5600/5199 is 18720800/3

Greatest Common Factor of 750,5199 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,5199 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1,3,1733,5199

Greatest Common Factor

We found the factors 750,5199 . The biggest common factor number is the GCF number.
So the greatest common factor 750,5199 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 6686/750, 5600/5199

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 6686/750, 5600/5199?

Answer: LCM of Numerators as per given numbers 6686/750, 5600/5199 is

LCM of Numerators i.e. for 6686,5600 is 18720800

GCF of denominators i.e. for 750,5199 is 3.

Thus, LCM of Fractions is 18720800/3.Finally, LCM of Fractions for 6686/750, 5600/5199 is 18720800/3.