Least Common Multiple of 222/18, 385/9843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 222/18, 385/9843 quickly i.e. 28490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/18, 385/9843 is 28490.

LCM(222/18, 385/9843) = 28490

LCM of 222/18, 385/9843

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 222/18,385/9843

Given numbers are 222/18,385/9843

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 222,385

Least Common Multiple of Numerators i.e. LCM of 222,385 is 85470.

GCF of Denominators means GCF of 18,9843 as per the given fractions.

GCF of 18,9843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,385

LCM of Fractions 222/18,385/9843 is 28490

Given numbers has no common factors except 1. So, there LCM is their product i.e 85470

Least Common Multiple of 222,385 with GCF Formula

Least Common Multiple of 222,385 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 222,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,385) = 1

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

GCF(222,385) x common factors =1 x 1 = 1

LCM(222,385) = ( 222 × 385 ) / 1

LCM(222,385) = 85470 / 1

LCM(222,385) = 85470


Lets's calculate GCF of 18,9843

3 18, 9843
6, 3281

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85470/3

Therefore the LCM of Fractions 222/18,385/9843 is 28490

Greatest Common Factor of 18,9843 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,9843 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 9843

List of positive integer factors of 9843 that divides 9843 without a remainder.

1,3,17,51,193,579,3281,9843

Greatest Common Factor

We found the factors 18,9843 . The biggest common factor number is the GCF number.
So the greatest common factor 18,9843 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 222/18, 385/9843

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 222/18, 385/9843?

Answer: LCM of Numerators as per given numbers 222/18, 385/9843 is

LCM of Numerators i.e. for 222,385 is 85470

GCF of denominators i.e. for 18,9843 is 3.

Thus, LCM of Fractions is 28490.Finally, LCM of Fractions for 222/18, 385/9843 is 28490.