Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 515/583, 618/592, 348/994 quickly i.e. 179220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 515/583, 618/592, 348/994 is 179220.
LCM(515/583, 618/592, 348/994) = 179220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 515/583,618/592,348/994
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 515,618,348
Least Common Multiple of Numerators i.e. LCM of 515,618,348 is 179220.
GCF of Denominators means GCF of 583,592,994 as per the given fractions.
GCF of 583,592,994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 515,618,348
2 | 515, 618, 348 |
3 | 515, 309, 174 |
103 | 515, 103, 58 |
5, 1, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 5 x 1 x 58 = 179220
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 515,618,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,618,348) = 1
common factors(in case of two or more numbers have common factors) = 618
GCF(515,618,348) x common factors =1 x 618 = 618
LCM(515,618,348) = ( 515 × 618 × 348 ) / 618
LCM(515,618,348) = 110757960 / 618
LCM(515,618,348) = 179220
Lets's calculate GCF of 583,592,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179220/1
Therefore the LCM of Fractions 515/583,618/592,348/994 is 179220
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 583,592,994 . The biggest common factor number is the GCF number.
So the greatest common factor 583,592,994 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 515/583, 618/592, 348/994?
Answer: LCM of Numerators as per given numbers 515/583, 618/592, 348/994 is
LCM of Numerators i.e. for 515,618,348 is 179220
GCF of denominators i.e. for 583,592,994 is 1.
Thus, LCM of Fractions is 179220.Finally, LCM of Fractions for 515/583, 618/592, 348/994 is 179220.