Least Common Multiple of 86/369, 6984/5934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/369, 6984/5934 quickly i.e. 100104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/369, 6984/5934 is 100104.

LCM(86/369, 6984/5934) = 100104

LCM of 86/369, 6984/5934

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 86/369,6984/5934

Given numbers are 86/369,6984/5934

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 86,6984

Least Common Multiple of Numerators i.e. LCM of 86,6984 is 300312.

GCF of Denominators means GCF of 369,5934 as per the given fractions.

GCF of 369,5934 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,6984

LCM of Fractions 86/369,6984/5934 is 100104

2 86, 6984
43, 3492

∴ So the LCM of the given numbers is 2 x 43 x 3492 = 300312

Least Common Multiple of 86,6984 with GCF Formula

Least Common Multiple of 86,6984 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 86,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,6984) = 2

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

GCF(86,6984) x common factors =2 x 1 = 2

LCM(86,6984) = ( 86 × 6984 ) / 2

LCM(86,6984) = 600624 / 2

LCM(86,6984) = 300312


Lets's calculate GCF of 369,5934

3 369, 5934
123, 1978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300312/3

Therefore the LCM of Fractions 86/369,6984/5934 is 100104

Greatest Common Factor of 369,5934 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,5934 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 5934

List of positive integer factors of 5934 that divides 5934 without a remainder.

1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934

Greatest Common Factor

We found the factors 369,5934 . The biggest common factor number is the GCF number.
So the greatest common factor 369,5934 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 86/369, 6984/5934

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 86/369, 6984/5934?

Answer: LCM of Numerators as per given numbers 86/369, 6984/5934 is

LCM of Numerators i.e. for 86,6984 is 300312

GCF of denominators i.e. for 369,5934 is 3.

Thus, LCM of Fractions is 100104.Finally, LCM of Fractions for 86/369, 6984/5934 is 100104.