Least Common Multiple of 109/521, 5392/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/521, 5392/114 quickly i.e. 587728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/521, 5392/114 is 587728.

LCM(109/521, 5392/114) = 587728

LCM of 109/521, 5392/114

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 109/521,5392/114

Given numbers are 109/521,5392/114

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 109,5392

Least Common Multiple of Numerators i.e. LCM of 109,5392 is 587728.

GCF of Denominators means GCF of 521,114 as per the given fractions.

GCF of 521,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,5392

LCM of Fractions 109/521,5392/114 is 587728

Given numbers has no common factors except 1. So, there LCM is their product i.e 587728

Least Common Multiple of 109,5392 with GCF Formula

Least Common Multiple of 109,5392 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 109,5392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,5392) = 1

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

GCF(109,5392) x common factors =1 x 1 = 1

LCM(109,5392) = ( 109 × 5392 ) / 1

LCM(109,5392) = 587728 / 1

LCM(109,5392) = 587728


Lets's calculate GCF of 521,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587728/1

Therefore the LCM of Fractions 109/521,5392/114 is 587728

Greatest Common Factor of 521,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,114 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 521,114 . The biggest common factor number is the GCF number.
So the greatest common factor 521,114 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 109/521, 5392/114

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 109/521, 5392/114?

Answer: LCM of Numerators as per given numbers 109/521, 5392/114 is

LCM of Numerators i.e. for 109,5392 is 587728

GCF of denominators i.e. for 521,114 is 1.

Thus, LCM of Fractions is 587728.Finally, LCM of Fractions for 109/521, 5392/114 is 587728.