Least Common Multiple of 34/618, 12/322, 131/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/618, 12/322, 131/648 quickly i.e. 13362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/618, 12/322, 131/648 is 13362.

LCM(34/618, 12/322, 131/648) = 13362

LCM of 34/618, 12/322, 131/648

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 34/618,12/322,131/648

Given numbers are 34/618,12/322,131/648

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 34,12,131

Least Common Multiple of Numerators i.e. LCM of 34,12,131 is 26724.

GCF of Denominators means GCF of 618,322,648 as per the given fractions.

GCF of 618,322,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,12,131

LCM of Fractions 34/618,12/322,131/648 is 13362

2 34, 12, 131
17, 6, 131

∴ So the LCM of the given numbers is 2 x 17 x 6 x 131 = 26724

Least Common Multiple of 34,12,131 with GCF Formula

Least Common Multiple of 34,12,131 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 34,12,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,12,131) = 1

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

GCF(34,12,131) x common factors =1 x 2 = 2

LCM(34,12,131) = ( 34 × 12 × 131 ) / 2

LCM(34,12,131) = 53448 / 2

LCM(34,12,131) = 26724


Lets's calculate GCF of 618,322,648

2 618, 322, 648
309, 161, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26724/2

Therefore the LCM of Fractions 34/618,12/322,131/648 is 13362

Greatest Common Factor of 618,322,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,322,648 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 618,322,648 . The biggest common factor number is the GCF number.
So the greatest common factor 618,322,648 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 34/618, 12/322, 131/648

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 34/618, 12/322, 131/648?

Answer: LCM of Numerators as per given numbers 34/618, 12/322, 131/648 is

LCM of Numerators i.e. for 34,12,131 is 26724

GCF of denominators i.e. for 618,322,648 is 2.

Thus, LCM of Fractions is 13362.Finally, LCM of Fractions for 34/618, 12/322, 131/648 is 13362.