Least Common Multiple of 186/42, 218/18, 421/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/42, 218/18, 421/836 quickly i.e. 4267677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/42, 218/18, 421/836 is 4267677.

LCM(186/42, 218/18, 421/836) = 4267677

LCM of 186/42, 218/18, 421/836

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 186/42,218/18,421/836

Given numbers are 186/42,218/18,421/836

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 186,218,421

Least Common Multiple of Numerators i.e. LCM of 186,218,421 is 8535354.

GCF of Denominators means GCF of 42,18,836 as per the given fractions.

GCF of 42,18,836 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,218,421

LCM of Fractions 186/42,218/18,421/836 is 4267677

2 186, 218, 421
93, 109, 421

∴ So the LCM of the given numbers is 2 x 93 x 109 x 421 = 8535354

Least Common Multiple of 186,218,421 with GCF Formula

Least Common Multiple of 186,218,421 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 186,218,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,218,421) = 1

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

GCF(186,218,421) x common factors =1 x 2 = 2

LCM(186,218,421) = ( 186 × 218 × 421 ) / 2

LCM(186,218,421) = 17070708 / 2

LCM(186,218,421) = 8535354


Lets's calculate GCF of 42,18,836

2 42, 18, 836
21, 9, 418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8535354/2

Therefore the LCM of Fractions 186/42,218/18,421/836 is 4267677

Greatest Common Factor of 42,18,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,18,836 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 42,18,836 . The biggest common factor number is the GCF number.
So the greatest common factor 42,18,836 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 186/42, 218/18, 421/836

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 186/42, 218/18, 421/836?

Answer: LCM of Numerators as per given numbers 186/42, 218/18, 421/836 is

LCM of Numerators i.e. for 186,218,421 is 8535354

GCF of denominators i.e. for 42,18,836 is 2.

Thus, LCM of Fractions is 4267677.Finally, LCM of Fractions for 186/42, 218/18, 421/836 is 4267677.