Least Common Multiple of 5296/86, 5579/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5296/86, 5579/393 quickly i.e. 29546384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5296/86, 5579/393 is 29546384.

LCM(5296/86, 5579/393) = 29546384

LCM of 5296/86, 5579/393

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 5296/86,5579/393

Given numbers are 5296/86,5579/393

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 5296,5579

Least Common Multiple of Numerators i.e. LCM of 5296,5579 is 29546384.

GCF of Denominators means GCF of 86,393 as per the given fractions.

GCF of 86,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5296,5579

LCM of Fractions 5296/86,5579/393 is 29546384

Given numbers has no common factors except 1. So, there LCM is their product i.e 29546384

Least Common Multiple of 5296,5579 with GCF Formula

Least Common Multiple of 5296,5579 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 5296,5579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5296,5579) = 1

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

GCF(5296,5579) x common factors =1 x 1 = 1

LCM(5296,5579) = ( 5296 × 5579 ) / 1

LCM(5296,5579) = 29546384 / 1

LCM(5296,5579) = 29546384


Lets's calculate GCF of 86,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29546384/1

Therefore the LCM of Fractions 5296/86,5579/393 is 29546384

Greatest Common Factor of 86,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,393 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 86,393 . The biggest common factor number is the GCF number.
So the greatest common factor 86,393 is 1.


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 5296/86, 5579/393

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 5296/86, 5579/393?

Answer: LCM of Numerators as per given numbers 5296/86, 5579/393 is

LCM of Numerators i.e. for 5296,5579 is 29546384

GCF of denominators i.e. for 86,393 is 1.

Thus, LCM of Fractions is 29546384.Finally, LCM of Fractions for 5296/86, 5579/393 is 29546384.