Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1086/865, 3866/8288 quickly i.e. 2099238 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1086/865, 3866/8288 is 2099238.
LCM(1086/865, 3866/8288) = 2099238
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1086/865,3866/8288
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 1086,3866
Least Common Multiple of Numerators i.e. LCM of 1086,3866 is 2099238.
GCF of Denominators means GCF of 865,8288 as per the given fractions.
GCF of 865,8288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1086,3866
2 | 1086, 3866 |
543, 1933 |
∴ So the LCM of the given numbers is 2 x 543 x 1933 = 2099238
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 1086,3866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1086,3866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1086,3866) x common factors =2 x 1 = 2
LCM(1086,3866) = ( 1086 × 3866 ) / 2
LCM(1086,3866) = 4198476 / 2
LCM(1086,3866) = 2099238
Lets's calculate GCF of 865,8288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2099238/1
Therefore the LCM of Fractions 1086/865,3866/8288 is 2099238
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 8288
List of positive integer factors of 8288 that divides 8288 without a remainder.
1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Greatest Common Factor
We found the factors 865,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 865,8288 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 1086/865, 3866/8288?
Answer: LCM of Numerators as per given numbers 1086/865, 3866/8288 is
LCM of Numerators i.e. for 1086,3866 is 2099238
GCF of denominators i.e. for 865,8288 is 1.
Thus, LCM of Fractions is 2099238.Finally, LCM of Fractions for 1086/865, 3866/8288 is 2099238.