Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 836/11, 585/6357 quickly i.e. 489060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 836/11, 585/6357 is 489060.
LCM(836/11, 585/6357) = 489060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 836/11,585/6357
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 836,585
Least Common Multiple of Numerators i.e. LCM of 836,585 is 489060.
GCF of Denominators means GCF of 11,6357 as per the given fractions.
GCF of 11,6357 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 836,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 489060
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 836,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,585) x common factors =1 x 1 = 1
LCM(836,585) = ( 836 × 585 ) / 1
LCM(836,585) = 489060 / 1
LCM(836,585) = 489060
Lets's calculate GCF of 11,6357
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489060/1
Therefore the LCM of Fractions 836/11,585/6357 is 489060
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 6357
List of positive integer factors of 6357 that divides 6357 without a remainder.
1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors 11,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 11,6357 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 836/11, 585/6357?
Answer: LCM of Numerators as per given numbers 836/11, 585/6357 is
LCM of Numerators i.e. for 836,585 is 489060
GCF of denominators i.e. for 11,6357 is 1.
Thus, LCM of Fractions is 489060.Finally, LCM of Fractions for 836/11, 585/6357 is 489060.