Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1460/583, 1990/331 quickly i.e. 290540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1460/583, 1990/331 is 290540.
LCM(1460/583, 1990/331) = 290540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1460/583,1990/331
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 1460,1990
Least Common Multiple of Numerators i.e. LCM of 1460,1990 is 290540.
GCF of Denominators means GCF of 583,331 as per the given fractions.
GCF of 583,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1460,1990
2 | 1460, 1990 |
5 | 730, 995 |
146, 199 |
∴ So the LCM of the given numbers is 2 x 5 x 146 x 199 = 290540
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 1460,1990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1460,1990) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(1460,1990) x common factors =10 x 1 = 10
LCM(1460,1990) = ( 1460 × 1990 ) / 10
LCM(1460,1990) = 2905400 / 10
LCM(1460,1990) = 290540
Lets's calculate GCF of 583,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290540/1
Therefore the LCM of Fractions 1460/583,1990/331 is 290540
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 583,331 . The biggest common factor number is the GCF number.
So the greatest common factor 583,331 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 1460/583, 1990/331?
Answer: LCM of Numerators as per given numbers 1460/583, 1990/331 is
LCM of Numerators i.e. for 1460,1990 is 290540
GCF of denominators i.e. for 583,331 is 1.
Thus, LCM of Fractions is 290540.Finally, LCM of Fractions for 1460/583, 1990/331 is 290540.