Least Common Multiple of 536/493, 1038/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 536/493, 1038/793 quickly i.e. 278184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/493, 1038/793 is 278184.

LCM(536/493, 1038/793) = 278184

LCM of 536/493, 1038/793

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 536/493,1038/793

Given numbers are 536/493,1038/793

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 536,1038

Least Common Multiple of Numerators i.e. LCM of 536,1038 is 278184.

GCF of Denominators means GCF of 493,793 as per the given fractions.

GCF of 493,793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,1038

LCM of Fractions 536/493,1038/793 is 278184

2 536, 1038
268, 519

∴ So the LCM of the given numbers is 2 x 268 x 519 = 278184

Least Common Multiple of 536,1038 with GCF Formula

Least Common Multiple of 536,1038 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 536,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,1038) = 2

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

GCF(536,1038) x common factors =2 x 1 = 2

LCM(536,1038) = ( 536 × 1038 ) / 2

LCM(536,1038) = 556368 / 2

LCM(536,1038) = 278184


Lets's calculate GCF of 493,793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278184/1

Therefore the LCM of Fractions 536/493,1038/793 is 278184

Greatest Common Factor of 493,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,793 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 493,793 . The biggest common factor number is the GCF number.
So the greatest common factor 493,793 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 536/493, 1038/793

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 536/493, 1038/793?

Answer: LCM of Numerators as per given numbers 536/493, 1038/793 is

LCM of Numerators i.e. for 536,1038 is 278184

GCF of denominators i.e. for 493,793 is 1.

Thus, LCM of Fractions is 278184.Finally, LCM of Fractions for 536/493, 1038/793 is 278184.