Least Common Multiple of 21/186, 3882/5334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/186, 3882/5334 quickly i.e. 4529 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/186, 3882/5334 is 4529.

LCM(21/186, 3882/5334) = 4529

LCM of 21/186, 3882/5334

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 21/186,3882/5334

Given numbers are 21/186,3882/5334

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 21,3882

Least Common Multiple of Numerators i.e. LCM of 21,3882 is 27174.

GCF of Denominators means GCF of 186,5334 as per the given fractions.

GCF of 186,5334 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,3882

LCM of Fractions 21/186,3882/5334 is 4529

3 21, 3882
7, 1294

∴ So the LCM of the given numbers is 3 x 7 x 1294 = 27174

Least Common Multiple of 21,3882 with GCF Formula

Least Common Multiple of 21,3882 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 21,3882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,3882) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(21,3882) x common factors =3 x 1 = 3

LCM(21,3882) = ( 21 × 3882 ) / 3

LCM(21,3882) = 81522 / 3

LCM(21,3882) = 27174


Lets's calculate GCF of 186,5334

2 186, 5334
3 93, 2667
31, 889

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27174/6

Therefore the LCM of Fractions 21/186,3882/5334 is 4529

Greatest Common Factor of 186,5334 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,5334 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Greatest Common Factor

We found the factors 186,5334 . The biggest common factor number is the GCF number.
So the greatest common factor 186,5334 is 6.


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 21/186, 3882/5334

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 21/186, 3882/5334?

Answer: LCM of Numerators as per given numbers 21/186, 3882/5334 is

LCM of Numerators i.e. for 21,3882 is 27174

GCF of denominators i.e. for 186,5334 is 6.

Thus, LCM of Fractions is 4529.Finally, LCM of Fractions for 21/186, 3882/5334 is 4529.