Least Common Multiple of 85/593, 575/780, 274/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/593, 575/780, 274/344 quickly i.e. 2678350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/593, 575/780, 274/344 is 2678350.

LCM(85/593, 575/780, 274/344) = 2678350

LCM of 85/593, 575/780, 274/344

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 85/593,575/780,274/344

Given numbers are 85/593,575/780,274/344

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 85,575,274

Least Common Multiple of Numerators i.e. LCM of 85,575,274 is 2678350.

GCF of Denominators means GCF of 593,780,344 as per the given fractions.

GCF of 593,780,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,575,274

LCM of Fractions 85/593,575/780,274/344 is 2678350

5 85, 575, 274
17, 115, 274

∴ So the LCM of the given numbers is 5 x 17 x 115 x 274 = 2678350

Least Common Multiple of 85,575,274 with GCF Formula

Least Common Multiple of 85,575,274 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 85,575,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,575,274) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,575,274) x common factors =1 x 5 = 5

LCM(85,575,274) = ( 85 × 575 × 274 ) / 5

LCM(85,575,274) = 13391750 / 5

LCM(85,575,274) = 2678350


Lets's calculate GCF of 593,780,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2678350/1

Therefore the LCM of Fractions 85/593,575/780,274/344 is 2678350

Greatest Common Factor of 593,780,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,780,344 By Matching Biggest Common Factor Method

Factors of 593

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

1,593

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 593,780,344 . The biggest common factor number is the GCF number.
So the greatest common factor 593,780,344 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 85/593, 575/780, 274/344

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 85/593, 575/780, 274/344?

Answer: LCM of Numerators as per given numbers 85/593, 575/780, 274/344 is

LCM of Numerators i.e. for 85,575,274 is 2678350

GCF of denominators i.e. for 593,780,344 is 1.

Thus, LCM of Fractions is 2678350.Finally, LCM of Fractions for 85/593, 575/780, 274/344 is 2678350.