Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 118/605, 2210/865 quickly i.e. 26078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 118/605, 2210/865 is 26078.
LCM(118/605, 2210/865) = 26078
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 118/605,2210/865
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 118,2210
Least Common Multiple of Numerators i.e. LCM of 118,2210 is 130390.
GCF of Denominators means GCF of 605,865 as per the given fractions.
GCF of 605,865 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 118,2210
2 | 118, 2210 |
59, 1105 |
∴ So the LCM of the given numbers is 2 x 59 x 1105 = 130390
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 118,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,2210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,2210) x common factors =2 x 1 = 2
LCM(118,2210) = ( 118 × 2210 ) / 2
LCM(118,2210) = 260780 / 2
LCM(118,2210) = 130390
Lets's calculate GCF of 605,865
5 | 605, 865 |
121, 173 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130390/5
Therefore the LCM of Fractions 118/605,2210/865 is 26078
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
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 605,865 . The biggest common factor number is the GCF number.
So the greatest common factor 605,865 is 5.
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 118/605, 2210/865?
Answer: LCM of Numerators as per given numbers 118/605, 2210/865 is
LCM of Numerators i.e. for 118,2210 is 130390
GCF of denominators i.e. for 605,865 is 5.
Thus, LCM of Fractions is 26078.Finally, LCM of Fractions for 118/605, 2210/865 is 26078.