Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 291/398, 3568/612 quickly i.e. 519144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 291/398, 3568/612 is 519144.
LCM(291/398, 3568/612) = 519144
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 291/398,3568/612
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 291,3568
Least Common Multiple of Numerators i.e. LCM of 291,3568 is 1038288.
GCF of Denominators means GCF of 398,612 as per the given fractions.
GCF of 398,612 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 291,3568
Given numbers has no common factors except 1. So, there LCM is their product i.e 1038288
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 291,3568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,3568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,3568) x common factors =1 x 1 = 1
LCM(291,3568) = ( 291 × 3568 ) / 1
LCM(291,3568) = 1038288 / 1
LCM(291,3568) = 1038288
Lets's calculate GCF of 398,612
2 | 398, 612 |
199, 306 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1038288/2
Therefore the LCM of Fractions 291/398,3568/612 is 519144
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 398,612 . The biggest common factor number is the GCF number.
So the greatest common factor 398,612 is 2.
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 291/398, 3568/612?
Answer: LCM of Numerators as per given numbers 291/398, 3568/612 is
LCM of Numerators i.e. for 291,3568 is 1038288
GCF of denominators i.e. for 398,612 is 2.
Thus, LCM of Fractions is 519144.Finally, LCM of Fractions for 291/398, 3568/612 is 519144.