Least Common Multiple of 82/799, 27/223, 228/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/799, 27/223, 228/610 quickly i.e. 84132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/799, 27/223, 228/610 is 84132.

LCM(82/799, 27/223, 228/610) = 84132

LCM of 82/799, 27/223, 228/610

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 82/799,27/223,228/610

Given numbers are 82/799,27/223,228/610

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 82,27,228

Least Common Multiple of Numerators i.e. LCM of 82,27,228 is 84132.

GCF of Denominators means GCF of 799,223,610 as per the given fractions.

GCF of 799,223,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,27,228

LCM of Fractions 82/799,27/223,228/610 is 84132

2 82, 27, 228
3 41, 27, 114
41, 9, 38

∴ So the LCM of the given numbers is 2 x 3 x 41 x 9 x 38 = 84132

Least Common Multiple of 82,27,228 with GCF Formula

Least Common Multiple of 82,27,228 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 82,27,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,27,228) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,27,228) x common factors =1 x 6 = 6

LCM(82,27,228) = ( 82 × 27 × 228 ) / 6

LCM(82,27,228) = 504792 / 6

LCM(82,27,228) = 84132


Lets's calculate GCF of 799,223,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84132/1

Therefore the LCM of Fractions 82/799,27/223,228/610 is 84132

Greatest Common Factor of 799,223,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,223,610 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 799,223,610 . The biggest common factor number is the GCF number.
So the greatest common factor 799,223,610 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 82/799, 27/223, 228/610

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 82/799, 27/223, 228/610?

Answer: LCM of Numerators as per given numbers 82/799, 27/223, 228/610 is

LCM of Numerators i.e. for 82,27,228 is 84132

GCF of denominators i.e. for 799,223,610 is 1.

Thus, LCM of Fractions is 84132.Finally, LCM of Fractions for 82/799, 27/223, 228/610 is 84132.