Least Common Multiple of 18/13, 26/923, 142/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/13, 26/923, 142/286 quickly i.e. 1278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/13, 26/923, 142/286 is 1278.

LCM(18/13, 26/923, 142/286) = 1278

LCM of 18/13, 26/923, 142/286

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 18/13,26/923,142/286

Given numbers are 18/13,26/923,142/286

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 18,26,142

Least Common Multiple of Numerators i.e. LCM of 18,26,142 is 16614.

GCF of Denominators means GCF of 13,923,286 as per the given fractions.

GCF of 13,923,286 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,26,142

LCM of Fractions 18/13,26/923,142/286 is 1278

2 18, 26, 142
9, 13, 71

∴ So the LCM of the given numbers is 2 x 9 x 13 x 71 = 16614

Least Common Multiple of 18,26,142 with GCF Formula

Least Common Multiple of 18,26,142 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 18,26,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,26,142) = 2

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

GCF(18,26,142) x common factors =2 x 2 = 4

LCM(18,26,142) = ( 18 × 26 × 142 ) / 4

LCM(18,26,142) = 66456 / 4

LCM(18,26,142) = 16614


Lets's calculate GCF of 13,923,286

13 13, 923, 286
1, 71, 22

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16614/13

Therefore the LCM of Fractions 18/13,26/923,142/286 is 1278

Greatest Common Factor of 13,923,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,923,286 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 13,923,286 . The biggest common factor number is the GCF number.
So the greatest common factor 13,923,286 is 13.


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 18/13, 26/923, 142/286

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 18/13, 26/923, 142/286?

Answer: LCM of Numerators as per given numbers 18/13, 26/923, 142/286 is

LCM of Numerators i.e. for 18,26,142 is 16614

GCF of denominators i.e. for 13,923,286 is 13.

Thus, LCM of Fractions is 1278.Finally, LCM of Fractions for 18/13, 26/923, 142/286 is 1278.