Least Common Multiple of 6694/203, 1146/8943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6694/203, 1146/8943 quickly i.e. 3835662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6694/203, 1146/8943 is 3835662.

LCM(6694/203, 1146/8943) = 3835662

LCM of 6694/203, 1146/8943

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 6694/203,1146/8943

Given numbers are 6694/203,1146/8943

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 6694,1146

Least Common Multiple of Numerators i.e. LCM of 6694,1146 is 3835662.

GCF of Denominators means GCF of 203,8943 as per the given fractions.

GCF of 203,8943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6694,1146

LCM of Fractions 6694/203,1146/8943 is 3835662

2 6694, 1146
3347, 573

∴ So the LCM of the given numbers is 2 x 3347 x 573 = 3835662

Least Common Multiple of 6694,1146 with GCF Formula

Least Common Multiple of 6694,1146 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 6694,1146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6694,1146) = 2

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

GCF(6694,1146) x common factors =2 x 1 = 2

LCM(6694,1146) = ( 6694 × 1146 ) / 2

LCM(6694,1146) = 7671324 / 2

LCM(6694,1146) = 3835662


Lets's calculate GCF of 203,8943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3835662/1

Therefore the LCM of Fractions 6694/203,1146/8943 is 3835662

Greatest Common Factor of 203,8943 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,8943 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 8943

List of positive integer factors of 8943 that divides 8943 without a remainder.

1,3,11,33,271,813,2981,8943

Greatest Common Factor

We found the factors 203,8943 . The biggest common factor number is the GCF number.
So the greatest common factor 203,8943 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6694/203, 1146/8943

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 6694/203, 1146/8943?

Answer: LCM of Numerators as per given numbers 6694/203, 1146/8943 is

LCM of Numerators i.e. for 6694,1146 is 3835662

GCF of denominators i.e. for 203,8943 is 1.

Thus, LCM of Fractions is 3835662.Finally, LCM of Fractions for 6694/203, 1146/8943 is 3835662.