Least Common Multiple of 561/90, 574/19, 871/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/90, 574/19, 871/137 quickly i.e. 280474194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/90, 574/19, 871/137 is 280474194.

LCM(561/90, 574/19, 871/137) = 280474194

LCM of 561/90, 574/19, 871/137

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 561/90,574/19,871/137

Given numbers are 561/90,574/19,871/137

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 561,574,871

Least Common Multiple of Numerators i.e. LCM of 561,574,871 is 280474194.

GCF of Denominators means GCF of 90,19,137 as per the given fractions.

GCF of 90,19,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,574,871

LCM of Fractions 561/90,574/19,871/137 is 280474194

Given numbers has no common factors except 1. So, there LCM is their product i.e 280474194

Least Common Multiple of 561,574,871 with GCF Formula

Least Common Multiple of 561,574,871 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 561,574,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,574,871) = 1

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

GCF(561,574,871) x common factors =1 x 1 = 1

LCM(561,574,871) = ( 561 × 574 × 871 ) / 1

LCM(561,574,871) = 280474194 / 1

LCM(561,574,871) = 280474194


Lets's calculate GCF of 90,19,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280474194/1

Therefore the LCM of Fractions 561/90,574/19,871/137 is 280474194

Greatest Common Factor of 90,19,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,19,137 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 90,19,137 . The biggest common factor number is the GCF number.
So the greatest common factor 90,19,137 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 561/90, 574/19, 871/137

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 561/90, 574/19, 871/137?

Answer: LCM of Numerators as per given numbers 561/90, 574/19, 871/137 is

LCM of Numerators i.e. for 561,574,871 is 280474194

GCF of denominators i.e. for 90,19,137 is 1.

Thus, LCM of Fractions is 280474194.Finally, LCM of Fractions for 561/90, 574/19, 871/137 is 280474194.