Least Common Multiple of 11/12, 18/691, 844/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/12, 18/691, 844/142 quickly i.e. 83556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/12, 18/691, 844/142 is 83556.

LCM(11/12, 18/691, 844/142) = 83556

LCM of 11/12, 18/691, 844/142

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 11/12,18/691,844/142

Given numbers are 11/12,18/691,844/142

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 11,18,844

Least Common Multiple of Numerators i.e. LCM of 11,18,844 is 83556.

GCF of Denominators means GCF of 12,691,142 as per the given fractions.

GCF of 12,691,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,18,844

LCM of Fractions 11/12,18/691,844/142 is 83556

2 11, 18, 844
11, 9, 422

∴ So the LCM of the given numbers is 2 x 11 x 9 x 422 = 83556

Least Common Multiple of 11,18,844 with GCF Formula

Least Common Multiple of 11,18,844 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 11,18,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,18,844) = 1

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

GCF(11,18,844) x common factors =1 x 2 = 2

LCM(11,18,844) = ( 11 × 18 × 844 ) / 2

LCM(11,18,844) = 167112 / 2

LCM(11,18,844) = 83556


Lets's calculate GCF of 12,691,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83556/1

Therefore the LCM of Fractions 11/12,18/691,844/142 is 83556

Greatest Common Factor of 12,691,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,691,142 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 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 12,691,142 . The biggest common factor number is the GCF number.
So the greatest common factor 12,691,142 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 11/12, 18/691, 844/142

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 11/12, 18/691, 844/142?

Answer: LCM of Numerators as per given numbers 11/12, 18/691, 844/142 is

LCM of Numerators i.e. for 11,18,844 is 83556

GCF of denominators i.e. for 12,691,142 is 1.

Thus, LCM of Fractions is 83556.Finally, LCM of Fractions for 11/12, 18/691, 844/142 is 83556.