Least Common Multiple of 803/816, 108/868, 868/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 803/816, 108/868, 868/703 quickly i.e. 18819108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 803/816, 108/868, 868/703 is 18819108.

LCM(803/816, 108/868, 868/703) = 18819108

LCM of 803/816, 108/868, 868/703

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 803/816,108/868,868/703

Given numbers are 803/816,108/868,868/703

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 803,108,868

Least Common Multiple of Numerators i.e. LCM of 803,108,868 is 18819108.

GCF of Denominators means GCF of 816,868,703 as per the given fractions.

GCF of 816,868,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 803,108,868

LCM of Fractions 803/816,108/868,868/703 is 18819108

2 803, 108, 868
2 803, 54, 434
803, 27, 217

∴ So the LCM of the given numbers is 2 x 2 x 803 x 27 x 217 = 18819108

Least Common Multiple of 803,108,868 with GCF Formula

Least Common Multiple of 803,108,868 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 803,108,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,108,868) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(803,108,868) x common factors =1 x 4 = 4

LCM(803,108,868) = ( 803 × 108 × 868 ) / 4

LCM(803,108,868) = 75276432 / 4

LCM(803,108,868) = 18819108


Lets's calculate GCF of 816,868,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18819108/1

Therefore the LCM of Fractions 803/816,108/868,868/703 is 18819108

Greatest Common Factor of 816,868,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,868,703 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 816,868,703 . The biggest common factor number is the GCF number.
So the greatest common factor 816,868,703 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 803/816, 108/868, 868/703

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 803/816, 108/868, 868/703?

Answer: LCM of Numerators as per given numbers 803/816, 108/868, 868/703 is

LCM of Numerators i.e. for 803,108,868 is 18819108

GCF of denominators i.e. for 816,868,703 is 1.

Thus, LCM of Fractions is 18819108.Finally, LCM of Fractions for 803/816, 108/868, 868/703 is 18819108.