Least Common Multiple of 222/43, 477/18, 418/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/43, 477/18, 418/410 quickly i.e. 7377282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/43, 477/18, 418/410 is 7377282.

LCM(222/43, 477/18, 418/410) = 7377282

LCM of 222/43, 477/18, 418/410

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 222/43,477/18,418/410

Given numbers are 222/43,477/18,418/410

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 222,477,418

Least Common Multiple of Numerators i.e. LCM of 222,477,418 is 7377282.

GCF of Denominators means GCF of 43,18,410 as per the given fractions.

GCF of 43,18,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,477,418

LCM of Fractions 222/43,477/18,418/410 is 7377282

2 222, 477, 418
3 111, 477, 209
37, 159, 209

∴ So the LCM of the given numbers is 2 x 3 x 37 x 159 x 209 = 7377282

Least Common Multiple of 222,477,418 with GCF Formula

Least Common Multiple of 222,477,418 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 222,477,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,477,418) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(222,477,418) x common factors =1 x 6 = 6

LCM(222,477,418) = ( 222 × 477 × 418 ) / 6

LCM(222,477,418) = 44263692 / 6

LCM(222,477,418) = 7377282


Lets's calculate GCF of 43,18,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7377282/1

Therefore the LCM of Fractions 222/43,477/18,418/410 is 7377282

Greatest Common Factor of 43,18,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,18,410 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 18

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

1,2,3,6,9,18

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 43,18,410 . The biggest common factor number is the GCF number.
So the greatest common factor 43,18,410 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 222/43, 477/18, 418/410

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 222/43, 477/18, 418/410?

Answer: LCM of Numerators as per given numbers 222/43, 477/18, 418/410 is

LCM of Numerators i.e. for 222,477,418 is 7377282

GCF of denominators i.e. for 43,18,410 is 1.

Thus, LCM of Fractions is 7377282.Finally, LCM of Fractions for 222/43, 477/18, 418/410 is 7377282.