Least Common Multiple of 86/903, 17/823, 916/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/903, 17/823, 916/129 quickly i.e. 669596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/903, 17/823, 916/129 is 669596.

LCM(86/903, 17/823, 916/129) = 669596

LCM of 86/903, 17/823, 916/129

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 86/903,17/823,916/129

Given numbers are 86/903,17/823,916/129

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 86,17,916

Least Common Multiple of Numerators i.e. LCM of 86,17,916 is 669596.

GCF of Denominators means GCF of 903,823,129 as per the given fractions.

GCF of 903,823,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,17,916

LCM of Fractions 86/903,17/823,916/129 is 669596

2 86, 17, 916
43, 17, 458

∴ So the LCM of the given numbers is 2 x 43 x 17 x 458 = 669596

Least Common Multiple of 86,17,916 with GCF Formula

Least Common Multiple of 86,17,916 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 86,17,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,17,916) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,17,916) x common factors =1 x 2 = 2

LCM(86,17,916) = ( 86 × 17 × 916 ) / 2

LCM(86,17,916) = 1339192 / 2

LCM(86,17,916) = 669596


Lets's calculate GCF of 903,823,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 669596/1

Therefore the LCM of Fractions 86/903,17/823,916/129 is 669596

Greatest Common Factor of 903,823,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,823,129 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 903,823,129 . The biggest common factor number is the GCF number.
So the greatest common factor 903,823,129 is 1.


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 86/903, 17/823, 916/129

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 86/903, 17/823, 916/129?

Answer: LCM of Numerators as per given numbers 86/903, 17/823, 916/129 is

LCM of Numerators i.e. for 86,17,916 is 669596

GCF of denominators i.e. for 903,823,129 is 1.

Thus, LCM of Fractions is 669596.Finally, LCM of Fractions for 86/903, 17/823, 916/129 is 669596.