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
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
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
2 | 13, 292, 566 |
13, 146, 283 |
∴ So the LCM of the given numbers is 2 x 13 x 146 x 283 = 1074268
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
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.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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.