Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/215, 3121/1808 quickly i.e. 31210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/215, 3121/1808 is 31210.
LCM(10/215, 3121/1808) = 31210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/215,3121/1808
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 10,3121
Least Common Multiple of Numerators i.e. LCM of 10,3121 is 31210.
GCF of Denominators means GCF of 215,1808 as per the given fractions.
GCF of 215,1808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,3121
Given numbers has no common factors except 1. So, there LCM is their product i.e 31210
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 10,3121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,3121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,3121) x common factors =1 x 1 = 1
LCM(10,3121) = ( 10 × 3121 ) / 1
LCM(10,3121) = 31210 / 1
LCM(10,3121) = 31210
Lets's calculate GCF of 215,1808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31210/1
Therefore the LCM of Fractions 10/215,3121/1808 is 31210
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 1808
List of positive integer factors of 1808 that divides 1808 without a remainder.
1,2,4,8,16,113,226,452,904,1808
Greatest Common Factor
We found the factors 215,1808 . The biggest common factor number is the GCF number.
So the greatest common factor 215,1808 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 10/215, 3121/1808?
Answer: LCM of Numerators as per given numbers 10/215, 3121/1808 is
LCM of Numerators i.e. for 10,3121 is 31210
GCF of denominators i.e. for 215,1808 is 1.
Thus, LCM of Fractions is 31210.Finally, LCM of Fractions for 10/215, 3121/1808 is 31210.