Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 323/79, 410/30, 634/901 quickly i.e. 41980310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 323/79, 410/30, 634/901 is 41980310.
LCM(323/79, 410/30, 634/901) = 41980310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 323/79,410/30,634/901
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 323,410,634
Least Common Multiple of Numerators i.e. LCM of 323,410,634 is 41980310.
GCF of Denominators means GCF of 79,30,901 as per the given fractions.
GCF of 79,30,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 323,410,634
2 | 323, 410, 634 |
323, 205, 317 |
∴ So the LCM of the given numbers is 2 x 323 x 205 x 317 = 41980310
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 323,410,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,410,634) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(323,410,634) x common factors =1 x 2 = 2
LCM(323,410,634) = ( 323 × 410 × 634 ) / 2
LCM(323,410,634) = 83960620 / 2
LCM(323,410,634) = 41980310
Lets's calculate GCF of 79,30,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41980310/1
Therefore the LCM of Fractions 323/79,410/30,634/901 is 41980310
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 79,30,901 . The biggest common factor number is the GCF number.
So the greatest common factor 79,30,901 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 323/79, 410/30, 634/901?
Answer: LCM of Numerators as per given numbers 323/79, 410/30, 634/901 is
LCM of Numerators i.e. for 323,410,634 is 41980310
GCF of denominators i.e. for 79,30,901 is 1.
Thus, LCM of Fractions is 41980310.Finally, LCM of Fractions for 323/79, 410/30, 634/901 is 41980310.