Least Common Multiple of 30/78, 86/82, 74/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/78, 86/82, 74/268 quickly i.e. 23865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/78, 86/82, 74/268 is 23865.

LCM(30/78, 86/82, 74/268) = 23865

LCM of 30/78, 86/82, 74/268

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 30/78,86/82,74/268

Given numbers are 30/78,86/82,74/268

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 30,86,74

Least Common Multiple of Numerators i.e. LCM of 30,86,74 is 47730.

GCF of Denominators means GCF of 78,82,268 as per the given fractions.

GCF of 78,82,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,86,74

LCM of Fractions 30/78,86/82,74/268 is 23865

2 30, 86, 74
15, 43, 37

∴ So the LCM of the given numbers is 2 x 15 x 43 x 37 = 47730

Least Common Multiple of 30,86,74 with GCF Formula

Least Common Multiple of 30,86,74 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 30,86,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,86,74) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(30,86,74) x common factors =2 x 2 = 4

LCM(30,86,74) = ( 30 × 86 × 74 ) / 4

LCM(30,86,74) = 190920 / 4

LCM(30,86,74) = 47730


Lets's calculate GCF of 78,82,268

2 78, 82, 268
39, 41, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47730/2

Therefore the LCM of Fractions 30/78,86/82,74/268 is 23865

Greatest Common Factor of 78,82,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,82,268 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 82

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

1,2,41,82

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 78,82,268 . The biggest common factor number is the GCF number.
So the greatest common factor 78,82,268 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 30/78, 86/82, 74/268

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 30/78, 86/82, 74/268?

Answer: LCM of Numerators as per given numbers 30/78, 86/82, 74/268 is

LCM of Numerators i.e. for 30,86,74 is 47730

GCF of denominators i.e. for 78,82,268 is 2.

Thus, LCM of Fractions is 23865.Finally, LCM of Fractions for 30/78, 86/82, 74/268 is 23865.