Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/341, 8860/2291 quickly i.e. 292380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/341, 8860/2291 is 292380.
LCM(66/341, 8860/2291) = 292380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/341,8860/2291
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 66,8860
Least Common Multiple of Numerators i.e. LCM of 66,8860 is 292380.
GCF of Denominators means GCF of 341,2291 as per the given fractions.
GCF of 341,2291 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,8860
2 | 66, 8860 |
33, 4430 |
∴ So the LCM of the given numbers is 2 x 33 x 4430 = 292380
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 66,8860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,8860) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,8860) x common factors =2 x 1 = 2
LCM(66,8860) = ( 66 × 8860 ) / 2
LCM(66,8860) = 584760 / 2
LCM(66,8860) = 292380
Lets's calculate GCF of 341,2291
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292380/1
Therefore the LCM of Fractions 66/341,8860/2291 is 292380
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 2291
List of positive integer factors of 2291 that divides 2291 without a remainder.
1,29,79,2291
Greatest Common Factor
We found the factors 341,2291 . The biggest common factor number is the GCF number.
So the greatest common factor 341,2291 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 66/341, 8860/2291?
Answer: LCM of Numerators as per given numbers 66/341, 8860/2291 is
LCM of Numerators i.e. for 66,8860 is 292380
GCF of denominators i.e. for 341,2291 is 1.
Thus, LCM of Fractions is 292380.Finally, LCM of Fractions for 66/341, 8860/2291 is 292380.