Least Common Multiple of 13/398, 292/936, 566/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/398, 292/936, 566/243 quickly i.e. 1074268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/398, 292/936, 566/243 is 1074268.

LCM(13/398, 292/936, 566/243) = 1074268

LCM of 13/398, 292/936, 566/243

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 13/398,292/936,566/243

Given numbers are 13/398,292/936,566/243

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 13,292,566

Least Common Multiple of Numerators i.e. LCM of 13,292,566 is 1074268.

GCF of Denominators means GCF of 398,936,243 as per the given fractions.

GCF of 398,936,243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,292,566

LCM of Fractions 13/398,292/936,566/243 is 1074268

2 13, 292, 566
13, 146, 283

∴ So the LCM of the given numbers is 2 x 13 x 146 x 283 = 1074268

Least Common Multiple of 13,292,566 with GCF Formula

Least Common Multiple of 13,292,566 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 13,292,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,292,566) = 1

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

GCF(13,292,566) x common factors =1 x 2 = 2

LCM(13,292,566) = ( 13 × 292 × 566 ) / 2

LCM(13,292,566) = 2148536 / 2

LCM(13,292,566) = 1074268


Lets's calculate GCF of 398,936,243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074268/1

Therefore the LCM of Fractions 13/398,292/936,566/243 is 1074268

Greatest Common Factor of 398,936,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,936,243 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 398,936,243 . The biggest common factor number is the GCF number.
So the greatest common factor 398,936,243 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/398, 292/936, 566/243

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 13/398, 292/936, 566/243?

Answer: LCM of Numerators as per given numbers 13/398, 292/936, 566/243 is

LCM of Numerators i.e. for 13,292,566 is 1074268

GCF of denominators i.e. for 398,936,243 is 1.

Thus, LCM of Fractions is 1074268.Finally, LCM of Fractions for 13/398, 292/936, 566/243 is 1074268.