Least Common Multiple of 84/82, 52/74, 82/86, 12/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/82, 52/74, 82/86, 12/270 quickly i.e. 22386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/82, 52/74, 82/86, 12/270 is 22386.

LCM(84/82, 52/74, 82/86, 12/270) = 22386

LCM of 84/82, 52/74, 82/86, 12/270

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 84/82,52/74,82/86,12/270

Given numbers are 84/82,52/74,82/86,12/270

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 84,52,82,12

Least Common Multiple of Numerators i.e. LCM of 84,52,82,12 is 44772.

GCF of Denominators means GCF of 82,74,86,270 as per the given fractions.

GCF of 82,74,86,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,52,82,12

LCM of Fractions 84/82,52/74,82/86,12/270 is 22386

2 84, 52, 82, 12
2 42, 26, 41, 6
3 21, 13, 41, 3
7, 13, 41, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 41 x 1 = 44772

Least Common Multiple of 84,52,82,12 with GCF Formula

Least Common Multiple of 84,52,82,12 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 84,52,82,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,52,82,12) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(84,52,82,12) x common factors =2 x 48 = 96

LCM(84,52,82,12) = ( 84 × 52 × 82 × 12 ) / 96

LCM(84,52,82,12) = 4298112 / 96

LCM(84,52,82,12) = 44772


Lets's calculate GCF of 82,74,86,270

2 82, 74, 86, 270
41, 37, 43, 135

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44772/2

Therefore the LCM of Fractions 84/82,52/74,82/86,12/270 is 22386

Greatest Common Factor of 82,74,86,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,74,86,270 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 82,74,86,270 . The biggest common factor number is the GCF number.
So the greatest common factor 82,74,86,270 is 2.


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 84/82, 52/74, 82/86, 12/270

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 84/82, 52/74, 82/86, 12/270?

Answer: LCM of Numerators as per given numbers 84/82, 52/74, 82/86, 12/270 is

LCM of Numerators i.e. for 84,52,82,12 is 44772

GCF of denominators i.e. for 82,74,86,270 is 2.

Thus, LCM of Fractions is 22386.Finally, LCM of Fractions for 84/82, 52/74, 82/86, 12/270 is 22386.