Least Common Multiple of 7047/600, 7029/7881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7047/600, 7029/7881 quickly i.e. 1834569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7047/600, 7029/7881 is 1834569.

LCM(7047/600, 7029/7881) = 1834569

LCM of 7047/600, 7029/7881

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 7047/600,7029/7881

Given numbers are 7047/600,7029/7881

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 7047,7029

Least Common Multiple of Numerators i.e. LCM of 7047,7029 is 5503707.

GCF of Denominators means GCF of 600,7881 as per the given fractions.

GCF of 600,7881 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7047,7029

LCM of Fractions 7047/600,7029/7881 is 1834569

3 7047, 7029
3 2349, 2343
783, 781

∴ So the LCM of the given numbers is 3 x 3 x 783 x 781 = 5503707

Least Common Multiple of 7047,7029 with GCF Formula

Least Common Multiple of 7047,7029 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 7047,7029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7047,7029) = 9

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

GCF(7047,7029) x common factors =9 x 1 = 9

LCM(7047,7029) = ( 7047 × 7029 ) / 9

LCM(7047,7029) = 49533363 / 9

LCM(7047,7029) = 5503707


Lets's calculate GCF of 600,7881

3 600, 7881
200, 2627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5503707/3

Therefore the LCM of Fractions 7047/600,7029/7881 is 1834569

Greatest Common Factor of 600,7881 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,7881 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 7881

List of positive integer factors of 7881 that divides 7881 without a remainder.

1,3,37,71,111,213,2627,7881

Greatest Common Factor

We found the factors 600,7881 . The biggest common factor number is the GCF number.
So the greatest common factor 600,7881 is 3.


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 7047/600, 7029/7881

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 7047/600, 7029/7881?

Answer: LCM of Numerators as per given numbers 7047/600, 7029/7881 is

LCM of Numerators i.e. for 7047,7029 is 5503707

GCF of denominators i.e. for 600,7881 is 3.

Thus, LCM of Fractions is 1834569.Finally, LCM of Fractions for 7047/600, 7029/7881 is 1834569.