Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 190/86, 844/82, 181/805 quickly i.e. 14512580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 190/86, 844/82, 181/805 is 14512580.
LCM(190/86, 844/82, 181/805) = 14512580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 190/86,844/82,181/805
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 190,844,181
Least Common Multiple of Numerators i.e. LCM of 190,844,181 is 14512580.
GCF of Denominators means GCF of 86,82,805 as per the given fractions.
GCF of 86,82,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 190,844,181
2 | 190, 844, 181 |
95, 422, 181 |
∴ So the LCM of the given numbers is 2 x 95 x 422 x 181 = 14512580
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 190,844,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,844,181) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(190,844,181) x common factors =1 x 2 = 2
LCM(190,844,181) = ( 190 × 844 × 181 ) / 2
LCM(190,844,181) = 29025160 / 2
LCM(190,844,181) = 14512580
Lets's calculate GCF of 86,82,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14512580/1
Therefore the LCM of Fractions 190/86,844/82,181/805 is 14512580
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 86,82,805 . The biggest common factor number is the GCF number.
So the greatest common factor 86,82,805 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 190/86, 844/82, 181/805?
Answer: LCM of Numerators as per given numbers 190/86, 844/82, 181/805 is
LCM of Numerators i.e. for 190,844,181 is 14512580
GCF of denominators i.e. for 86,82,805 is 1.
Thus, LCM of Fractions is 14512580.Finally, LCM of Fractions for 190/86, 844/82, 181/805 is 14512580.