Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/110, 3596/2388 quickly i.e. 77314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/110, 3596/2388 is 77314.
LCM(86/110, 3596/2388) = 77314
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/110,3596/2388
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 86,3596
Least Common Multiple of Numerators i.e. LCM of 86,3596 is 154628.
GCF of Denominators means GCF of 110,2388 as per the given fractions.
GCF of 110,2388 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,3596
2 | 86, 3596 |
43, 1798 |
∴ So the LCM of the given numbers is 2 x 43 x 1798 = 154628
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 86,3596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,3596) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,3596) x common factors =2 x 1 = 2
LCM(86,3596) = ( 86 × 3596 ) / 2
LCM(86,3596) = 309256 / 2
LCM(86,3596) = 154628
Lets's calculate GCF of 110,2388
2 | 110, 2388 |
55, 1194 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154628/2
Therefore the LCM of Fractions 86/110,3596/2388 is 77314
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 2388
List of positive integer factors of 2388 that divides 2388 without a remainder.
1,2,3,4,6,12,199,398,597,796,1194,2388
Greatest Common Factor
We found the factors 110,2388 . The biggest common factor number is the GCF number.
So the greatest common factor 110,2388 is 2.
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 86/110, 3596/2388?
Answer: LCM of Numerators as per given numbers 86/110, 3596/2388 is
LCM of Numerators i.e. for 86,3596 is 154628
GCF of denominators i.e. for 110,2388 is 2.
Thus, LCM of Fractions is 77314.Finally, LCM of Fractions for 86/110, 3596/2388 is 77314.