Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 666/22, 131/3185 quickly i.e. 87246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 666/22, 131/3185 is 87246.
LCM(666/22, 131/3185) = 87246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 666/22,131/3185
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 666,131
Least Common Multiple of Numerators i.e. LCM of 666,131 is 87246.
GCF of Denominators means GCF of 22,3185 as per the given fractions.
GCF of 22,3185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 666,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 87246
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 666,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(666,131) x common factors =1 x 1 = 1
LCM(666,131) = ( 666 × 131 ) / 1
LCM(666,131) = 87246 / 1
LCM(666,131) = 87246
Lets's calculate GCF of 22,3185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87246/1
Therefore the LCM of Fractions 666/22,131/3185 is 87246
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 3185
List of positive integer factors of 3185 that divides 3185 without a remainder.
1,5,7,13,35,49,65,91,245,455,637,3185
Greatest Common Factor
We found the factors 22,3185 . The biggest common factor number is the GCF number.
So the greatest common factor 22,3185 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 666/22, 131/3185?
Answer: LCM of Numerators as per given numbers 666/22, 131/3185 is
LCM of Numerators i.e. for 666,131 is 87246
GCF of denominators i.e. for 22,3185 is 1.
Thus, LCM of Fractions is 87246.Finally, LCM of Fractions for 666/22, 131/3185 is 87246.