Least Common Multiple of 580/27, 195/8812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 580/27, 195/8812 quickly i.e. 22620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/27, 195/8812 is 22620.

LCM(580/27, 195/8812) = 22620

LCM of 580/27, 195/8812

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 580/27,195/8812

Given numbers are 580/27,195/8812

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 580,195

Least Common Multiple of Numerators i.e. LCM of 580,195 is 22620.

GCF of Denominators means GCF of 27,8812 as per the given fractions.

GCF of 27,8812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,195

LCM of Fractions 580/27,195/8812 is 22620

5 580, 195
116, 39

∴ So the LCM of the given numbers is 5 x 116 x 39 = 22620

Least Common Multiple of 580,195 with GCF Formula

Least Common Multiple of 580,195 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 580,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,195) = 5

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

GCF(580,195) x common factors =5 x 1 = 5

LCM(580,195) = ( 580 × 195 ) / 5

LCM(580,195) = 113100 / 5

LCM(580,195) = 22620


Lets's calculate GCF of 27,8812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22620/1

Therefore the LCM of Fractions 580/27,195/8812 is 22620

Greatest Common Factor of 27,8812 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,8812 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 8812

List of positive integer factors of 8812 that divides 8812 without a remainder.

1,2,4,2203,4406,8812

Greatest Common Factor

We found the factors 27,8812 . The biggest common factor number is the GCF number.
So the greatest common factor 27,8812 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 580/27, 195/8812

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 580/27, 195/8812?

Answer: LCM of Numerators as per given numbers 580/27, 195/8812 is

LCM of Numerators i.e. for 580,195 is 22620

GCF of denominators i.e. for 27,8812 is 1.

Thus, LCM of Fractions is 22620.Finally, LCM of Fractions for 580/27, 195/8812 is 22620.