Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/36, 805/24, 408/865 quickly i.e. 271619880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/36, 805/24, 408/865 is 271619880.
LCM(827/36, 805/24, 408/865) = 271619880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/36,805/24,408/865
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 827,805,408
Least Common Multiple of Numerators i.e. LCM of 827,805,408 is 271619880.
GCF of Denominators means GCF of 36,24,865 as per the given fractions.
GCF of 36,24,865 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,805,408
Given numbers has no common factors except 1. So, there LCM is their product i.e 271619880
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 827,805,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,805,408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,805,408) x common factors =1 x 1 = 1
LCM(827,805,408) = ( 827 × 805 × 408 ) / 1
LCM(827,805,408) = 271619880 / 1
LCM(827,805,408) = 271619880
Lets's calculate GCF of 36,24,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271619880/1
Therefore the LCM of Fractions 827/36,805/24,408/865 is 271619880
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 36,24,865 . The biggest common factor number is the GCF number.
So the greatest common factor 36,24,865 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 827/36, 805/24, 408/865?
Answer: LCM of Numerators as per given numbers 827/36, 805/24, 408/865 is
LCM of Numerators i.e. for 827,805,408 is 271619880
GCF of denominators i.e. for 36,24,865 is 1.
Thus, LCM of Fractions is 271619880.Finally, LCM of Fractions for 827/36, 805/24, 408/865 is 271619880.