Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/199, 19/229, 723/934 quickly i.e. 233529 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/199, 19/229, 723/934 is 233529.
LCM(51/199, 19/229, 723/934) = 233529
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/199,19/229,723/934
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 51,19,723
Least Common Multiple of Numerators i.e. LCM of 51,19,723 is 233529.
GCF of Denominators means GCF of 199,229,934 as per the given fractions.
GCF of 199,229,934 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,19,723
3 | 51, 19, 723 |
17, 19, 241 |
∴ So the LCM of the given numbers is 3 x 17 x 19 x 241 = 233529
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 51,19,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,19,723) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,19,723) x common factors =1 x 3 = 3
LCM(51,19,723) = ( 51 × 19 × 723 ) / 3
LCM(51,19,723) = 700587 / 3
LCM(51,19,723) = 233529
Lets's calculate GCF of 199,229,934
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233529/1
Therefore the LCM of Fractions 51/199,19/229,723/934 is 233529
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 199,229,934 . The biggest common factor number is the GCF number.
So the greatest common factor 199,229,934 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 51/199, 19/229, 723/934?
Answer: LCM of Numerators as per given numbers 51/199, 19/229, 723/934 is
LCM of Numerators i.e. for 51,19,723 is 233529
GCF of denominators i.e. for 199,229,934 is 1.
Thus, LCM of Fractions is 233529.Finally, LCM of Fractions for 51/199, 19/229, 723/934 is 233529.