Least Common Multiple of 753/392, 266/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/392, 266/579 quickly i.e. 200298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/392, 266/579 is 200298.

LCM(753/392, 266/579) = 200298

LCM of 753/392, 266/579

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 753/392,266/579

Given numbers are 753/392,266/579

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 753,266

Least Common Multiple of Numerators i.e. LCM of 753,266 is 200298.

GCF of Denominators means GCF of 392,579 as per the given fractions.

GCF of 392,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,266

LCM of Fractions 753/392,266/579 is 200298

Given numbers has no common factors except 1. So, there LCM is their product i.e 200298

Least Common Multiple of 753,266 with GCF Formula

Least Common Multiple of 753,266 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 753,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,266) = 1

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

GCF(753,266) x common factors =1 x 1 = 1

LCM(753,266) = ( 753 × 266 ) / 1

LCM(753,266) = 200298 / 1

LCM(753,266) = 200298


Lets's calculate GCF of 392,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200298/1

Therefore the LCM of Fractions 753/392,266/579 is 200298

Greatest Common Factor of 392,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,579 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 392,579 . The biggest common factor number is the GCF number.
So the greatest common factor 392,579 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 753/392, 266/579

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 753/392, 266/579?

Answer: LCM of Numerators as per given numbers 753/392, 266/579 is

LCM of Numerators i.e. for 753,266 is 200298

GCF of denominators i.e. for 392,579 is 1.

Thus, LCM of Fractions is 200298.Finally, LCM of Fractions for 753/392, 266/579 is 200298.