Least Common Multiple of 222/988, 918/260, 183/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 222/988, 918/260, 183/305 quickly i.e. 2071926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/988, 918/260, 183/305 is 2071926.

LCM(222/988, 918/260, 183/305) = 2071926

LCM of 222/988, 918/260, 183/305

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 222/988,918/260,183/305

Given numbers are 222/988,918/260,183/305

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 222,918,183

Least Common Multiple of Numerators i.e. LCM of 222,918,183 is 2071926.

GCF of Denominators means GCF of 988,260,305 as per the given fractions.

GCF of 988,260,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,918,183

LCM of Fractions 222/988,918/260,183/305 is 2071926

2 222, 918, 183
3 111, 459, 183
37, 153, 61

∴ So the LCM of the given numbers is 2 x 3 x 37 x 153 x 61 = 2071926

Least Common Multiple of 222,918,183 with GCF Formula

Least Common Multiple of 222,918,183 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 222,918,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,918,183) = 3

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

GCF(222,918,183) x common factors =3 x 6 = 18

LCM(222,918,183) = ( 222 × 918 × 183 ) / 18

LCM(222,918,183) = 37294668 / 18

LCM(222,918,183) = 2071926


Lets's calculate GCF of 988,260,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2071926/1

Therefore the LCM of Fractions 222/988,918/260,183/305 is 2071926

Greatest Common Factor of 988,260,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,260,305 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 988,260,305 . The biggest common factor number is the GCF number.
So the greatest common factor 988,260,305 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 222/988, 918/260, 183/305

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 222/988, 918/260, 183/305?

Answer: LCM of Numerators as per given numbers 222/988, 918/260, 183/305 is

LCM of Numerators i.e. for 222,918,183 is 2071926

GCF of denominators i.e. for 988,260,305 is 1.

Thus, LCM of Fractions is 2071926.Finally, LCM of Fractions for 222/988, 918/260, 183/305 is 2071926.