Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 821/43, 413/50, 667/107 quickly i.e. 226161691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 821/43, 413/50, 667/107 is 226161691.
LCM(821/43, 413/50, 667/107) = 226161691
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 821/43,413/50,667/107
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 821,413,667
Least Common Multiple of Numerators i.e. LCM of 821,413,667 is 226161691.
GCF of Denominators means GCF of 43,50,107 as per the given fractions.
GCF of 43,50,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 821,413,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 226161691
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 821,413,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,413,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,413,667) x common factors =1 x 1 = 1
LCM(821,413,667) = ( 821 × 413 × 667 ) / 1
LCM(821,413,667) = 226161691 / 1
LCM(821,413,667) = 226161691
Lets's calculate GCF of 43,50,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226161691/1
Therefore the LCM of Fractions 821/43,413/50,667/107 is 226161691
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 43,50,107 . The biggest common factor number is the GCF number.
So the greatest common factor 43,50,107 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 821/43, 413/50, 667/107?
Answer: LCM of Numerators as per given numbers 821/43, 413/50, 667/107 is
LCM of Numerators i.e. for 821,413,667 is 226161691
GCF of denominators i.e. for 43,50,107 is 1.
Thus, LCM of Fractions is 226161691.Finally, LCM of Fractions for 821/43, 413/50, 667/107 is 226161691.