Least Common Multiple of 18/84, 74/12, 35/82, 27/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/84, 74/12, 35/82, 27/54 quickly i.e. 34965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/84, 74/12, 35/82, 27/54 is 34965.

LCM(18/84, 74/12, 35/82, 27/54) = 34965

LCM of 18/84, 74/12, 35/82, 27/54

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 18/84,74/12,35/82,27/54

Given numbers are 18/84,74/12,35/82,27/54

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 18,74,35,27

Least Common Multiple of Numerators i.e. LCM of 18,74,35,27 is 69930.

GCF of Denominators means GCF of 84,12,82,54 as per the given fractions.

GCF of 84,12,82,54 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,74,35,27

LCM of Fractions 18/84,74/12,35/82,27/54 is 34965

2 18, 74, 35, 27
3 9, 37, 35, 27
3 3, 37, 35, 9
1, 37, 35, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 37 x 35 x 3 = 69930

Least Common Multiple of 18,74,35,27 with GCF Formula

Least Common Multiple of 18,74,35,27 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 18,74,35,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,74,35,27) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,74,35,27) x common factors =1 x 18 = 18

LCM(18,74,35,27) = ( 18 × 74 × 35 × 27 ) / 18

LCM(18,74,35,27) = 1258740 / 18

LCM(18,74,35,27) = 69930


Lets's calculate GCF of 84,12,82,54

2 84, 12, 82, 54
42, 6, 41, 27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69930/2

Therefore the LCM of Fractions 18/84,74/12,35/82,27/54 is 34965

Greatest Common Factor of 84,12,82,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,12,82,54 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 82

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

1,2,41,82

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 84,12,82,54 . The biggest common factor number is the GCF number.
So the greatest common factor 84,12,82,54 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 18/84, 74/12, 35/82, 27/54

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 18/84, 74/12, 35/82, 27/54?

Answer: LCM of Numerators as per given numbers 18/84, 74/12, 35/82, 27/54 is

LCM of Numerators i.e. for 18,74,35,27 is 69930

GCF of denominators i.e. for 84,12,82,54 is 2.

Thus, LCM of Fractions is 34965.Finally, LCM of Fractions for 18/84, 74/12, 35/82, 27/54 is 34965.