Least Common Multiple of 27/12, 30/35, 26/19, 82/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/12, 30/35, 26/19, 82/154 quickly i.e. 143910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/12, 30/35, 26/19, 82/154 is 143910.

LCM(27/12, 30/35, 26/19, 82/154) = 143910

LCM of 27/12, 30/35, 26/19, 82/154

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 27/12,30/35,26/19,82/154

Given numbers are 27/12,30/35,26/19,82/154

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 27,30,26,82

Least Common Multiple of Numerators i.e. LCM of 27,30,26,82 is 143910.

GCF of Denominators means GCF of 12,35,19,154 as per the given fractions.

GCF of 12,35,19,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,30,26,82

LCM of Fractions 27/12,30/35,26/19,82/154 is 143910

2 27, 30, 26, 82
3 27, 15, 13, 41
9, 5, 13, 41

∴ So the LCM of the given numbers is 2 x 3 x 9 x 5 x 13 x 41 = 143910

Least Common Multiple of 27,30,26,82 with GCF Formula

Least Common Multiple of 27,30,26,82 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 27,30,26,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,30,26,82) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(27,30,26,82) x common factors =1 x 12 = 12

LCM(27,30,26,82) = ( 27 × 30 × 26 × 82 ) / 12

LCM(27,30,26,82) = 1726920 / 12

LCM(27,30,26,82) = 143910


Lets's calculate GCF of 12,35,19,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143910/1

Therefore the LCM of Fractions 27/12,30/35,26/19,82/154 is 143910

Greatest Common Factor of 12,35,19,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,35,19,154 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 12,35,19,154 . The biggest common factor number is the GCF number.
So the greatest common factor 12,35,19,154 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 27/12, 30/35, 26/19, 82/154

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 27/12, 30/35, 26/19, 82/154?

Answer: LCM of Numerators as per given numbers 27/12, 30/35, 26/19, 82/154 is

LCM of Numerators i.e. for 27,30,26,82 is 143910

GCF of denominators i.e. for 12,35,19,154 is 1.

Thus, LCM of Fractions is 143910.Finally, LCM of Fractions for 27/12, 30/35, 26/19, 82/154 is 143910.