Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/389, 626/411, 826/585 quickly i.e. 61790582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/389, 626/411, 826/585 is 61790582.
LCM(478/389, 626/411, 826/585) = 61790582
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/389,626/411,826/585
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 478,626,826
Least Common Multiple of Numerators i.e. LCM of 478,626,826 is 61790582.
GCF of Denominators means GCF of 389,411,585 as per the given fractions.
GCF of 389,411,585 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,626,826
2 | 478, 626, 826 |
239, 313, 413 |
∴ So the LCM of the given numbers is 2 x 239 x 313 x 413 = 61790582
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 478,626,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,626,826) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(478,626,826) x common factors =2 x 2 = 4
LCM(478,626,826) = ( 478 × 626 × 826 ) / 4
LCM(478,626,826) = 247162328 / 4
LCM(478,626,826) = 61790582
Lets's calculate GCF of 389,411,585
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61790582/1
Therefore the LCM of Fractions 478/389,626/411,826/585 is 61790582
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 389,411,585 . The biggest common factor number is the GCF number.
So the greatest common factor 389,411,585 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 478/389, 626/411, 826/585?
Answer: LCM of Numerators as per given numbers 478/389, 626/411, 826/585 is
LCM of Numerators i.e. for 478,626,826 is 61790582
GCF of denominators i.e. for 389,411,585 is 1.
Thus, LCM of Fractions is 61790582.Finally, LCM of Fractions for 478/389, 626/411, 826/585 is 61790582.