Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 899/194, 687/321, 291/873 quickly i.e. 59908461 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 899/194, 687/321, 291/873 is 59908461.
LCM(899/194, 687/321, 291/873) = 59908461
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 899/194,687/321,291/873
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 899,687,291
Least Common Multiple of Numerators i.e. LCM of 899,687,291 is 59908461.
GCF of Denominators means GCF of 194,321,873 as per the given fractions.
GCF of 194,321,873 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 899,687,291
3 | 899, 687, 291 |
899, 229, 97 |
∴ So the LCM of the given numbers is 3 x 899 x 229 x 97 = 59908461
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 899,687,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,687,291) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(899,687,291) x common factors =1 x 3 = 3
LCM(899,687,291) = ( 899 × 687 × 291 ) / 3
LCM(899,687,291) = 179725383 / 3
LCM(899,687,291) = 59908461
Lets's calculate GCF of 194,321,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59908461/1
Therefore the LCM of Fractions 899/194,687/321,291/873 is 59908461
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 194,321,873 . The biggest common factor number is the GCF number.
So the greatest common factor 194,321,873 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 899/194, 687/321, 291/873?
Answer: LCM of Numerators as per given numbers 899/194, 687/321, 291/873 is
LCM of Numerators i.e. for 899,687,291 is 59908461
GCF of denominators i.e. for 194,321,873 is 1.
Thus, LCM of Fractions is 59908461.Finally, LCM of Fractions for 899/194, 687/321, 291/873 is 59908461.