Least Common Multiple of 561/38, 1731/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/38, 1731/235 quickly i.e. 323697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/38, 1731/235 is 323697.

LCM(561/38, 1731/235) = 323697

LCM of 561/38, 1731/235

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 561/38,1731/235

Given numbers are 561/38,1731/235

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 561,1731

Least Common Multiple of Numerators i.e. LCM of 561,1731 is 323697.

GCF of Denominators means GCF of 38,235 as per the given fractions.

GCF of 38,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,1731

LCM of Fractions 561/38,1731/235 is 323697

3 561, 1731
187, 577

∴ So the LCM of the given numbers is 3 x 187 x 577 = 323697

Least Common Multiple of 561,1731 with GCF Formula

Least Common Multiple of 561,1731 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 561,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,1731) = 3

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

GCF(561,1731) x common factors =3 x 1 = 3

LCM(561,1731) = ( 561 × 1731 ) / 3

LCM(561,1731) = 971091 / 3

LCM(561,1731) = 323697


Lets's calculate GCF of 38,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323697/1

Therefore the LCM of Fractions 561/38,1731/235 is 323697

Greatest Common Factor of 38,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,235 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 38,235 . The biggest common factor number is the GCF number.
So the greatest common factor 38,235 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 561/38, 1731/235

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 561/38, 1731/235?

Answer: LCM of Numerators as per given numbers 561/38, 1731/235 is

LCM of Numerators i.e. for 561,1731 is 323697

GCF of denominators i.e. for 38,235 is 1.

Thus, LCM of Fractions is 323697.Finally, LCM of Fractions for 561/38, 1731/235 is 323697.