Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 596/35, 486/5826 quickly i.e. 144828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 596/35, 486/5826 is 144828.
LCM(596/35, 486/5826) = 144828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 596/35,486/5826
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 596,486
Least Common Multiple of Numerators i.e. LCM of 596,486 is 144828.
GCF of Denominators means GCF of 35,5826 as per the given fractions.
GCF of 35,5826 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 596,486
2 | 596, 486 |
298, 243 |
∴ So the LCM of the given numbers is 2 x 298 x 243 = 144828
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 596,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,486) x common factors =2 x 1 = 2
LCM(596,486) = ( 596 × 486 ) / 2
LCM(596,486) = 289656 / 2
LCM(596,486) = 144828
Lets's calculate GCF of 35,5826
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144828/1
Therefore the LCM of Fractions 596/35,486/5826 is 144828
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 5826
List of positive integer factors of 5826 that divides 5826 without a remainder.
1,2,3,6,971,1942,2913,5826
Greatest Common Factor
We found the factors 35,5826 . The biggest common factor number is the GCF number.
So the greatest common factor 35,5826 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 596/35, 486/5826?
Answer: LCM of Numerators as per given numbers 596/35, 486/5826 is
LCM of Numerators i.e. for 596,486 is 144828
GCF of denominators i.e. for 35,5826 is 1.
Thus, LCM of Fractions is 144828.Finally, LCM of Fractions for 596/35, 486/5826 is 144828.