Least Common Multiple of 535/556, 514/727, 994/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 535/556, 514/727, 994/593 quickly i.e. 136670030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/556, 514/727, 994/593 is 136670030.

LCM(535/556, 514/727, 994/593) = 136670030

LCM of 535/556, 514/727, 994/593

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 535/556,514/727,994/593

Given numbers are 535/556,514/727,994/593

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 535,514,994

Least Common Multiple of Numerators i.e. LCM of 535,514,994 is 136670030.

GCF of Denominators means GCF of 556,727,593 as per the given fractions.

GCF of 556,727,593 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,514,994

LCM of Fractions 535/556,514/727,994/593 is 136670030

2 535, 514, 994
535, 257, 497

∴ So the LCM of the given numbers is 2 x 535 x 257 x 497 = 136670030

Least Common Multiple of 535,514,994 with GCF Formula

Least Common Multiple of 535,514,994 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 535,514,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,514,994) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(535,514,994) x common factors =1 x 2 = 2

LCM(535,514,994) = ( 535 × 514 × 994 ) / 2

LCM(535,514,994) = 273340060 / 2

LCM(535,514,994) = 136670030


Lets's calculate GCF of 556,727,593

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136670030/1

Therefore the LCM of Fractions 535/556,514/727,994/593 is 136670030

Greatest Common Factor of 556,727,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,727,593 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 556,727,593 . The biggest common factor number is the GCF number.
So the greatest common factor 556,727,593 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 535/556, 514/727, 994/593

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 535/556, 514/727, 994/593?

Answer: LCM of Numerators as per given numbers 535/556, 514/727, 994/593 is

LCM of Numerators i.e. for 535,514,994 is 136670030

GCF of denominators i.e. for 556,727,593 is 1.

Thus, LCM of Fractions is 136670030.Finally, LCM of Fractions for 535/556, 514/727, 994/593 is 136670030.