Least Common Multiple of 6180/90, 5361/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6180/90, 5361/855 quickly i.e. 11043660/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6180/90, 5361/855 is 11043660/45.

LCM(6180/90, 5361/855) = 11043660/45

LCM of 6180/90, 5361/855

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 6180/90,5361/855

Given numbers are 6180/90,5361/855

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 6180,5361

Least Common Multiple of Numerators i.e. LCM of 6180,5361 is 11043660.

GCF of Denominators means GCF of 90,855 as per the given fractions.

GCF of 90,855 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6180,5361

LCM of Fractions 6180/90,5361/855 is 11043660/45

3 6180, 5361
2060, 1787

∴ So the LCM of the given numbers is 3 x 2060 x 1787 = 11043660

Least Common Multiple of 6180,5361 with GCF Formula

Least Common Multiple of 6180,5361 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 6180,5361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6180,5361) = 3

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

GCF(6180,5361) x common factors =3 x 1 = 3

LCM(6180,5361) = ( 6180 × 5361 ) / 3

LCM(6180,5361) = 33130980 / 3

LCM(6180,5361) = 11043660


Lets's calculate GCF of 90,855

3 90, 855
3 30, 285
5 10, 95
2, 19

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11043660/45

Therefore the LCM of Fractions 6180/90,5361/855 is 11043660/45

Greatest Common Factor of 90,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,855 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 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 90,855 . The biggest common factor number is the GCF number.
So the greatest common factor 90,855 is 45.


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 6180/90, 5361/855

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 6180/90, 5361/855?

Answer: LCM of Numerators as per given numbers 6180/90, 5361/855 is

LCM of Numerators i.e. for 6180,5361 is 11043660

GCF of denominators i.e. for 90,855 is 45.

Thus, LCM of Fractions is 11043660/45.Finally, LCM of Fractions for 6180/90, 5361/855 is 11043660/45.