Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 347/824, 233/421, 317/276 quickly i.e. 25629767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 347/824, 233/421, 317/276 is 25629767.
LCM(347/824, 233/421, 317/276) = 25629767
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 347/824,233/421,317/276
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 347,233,317
Least Common Multiple of Numerators i.e. LCM of 347,233,317 is 25629767.
GCF of Denominators means GCF of 824,421,276 as per the given fractions.
GCF of 824,421,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 347,233,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 25629767
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 347,233,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,233,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,233,317) x common factors =1 x 1 = 1
LCM(347,233,317) = ( 347 × 233 × 317 ) / 1
LCM(347,233,317) = 25629767 / 1
LCM(347,233,317) = 25629767
Lets's calculate GCF of 824,421,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25629767/1
Therefore the LCM of Fractions 347/824,233/421,317/276 is 25629767
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 824,421,276 . The biggest common factor number is the GCF number.
So the greatest common factor 824,421,276 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 347/824, 233/421, 317/276?
Answer: LCM of Numerators as per given numbers 347/824, 233/421, 317/276 is
LCM of Numerators i.e. for 347,233,317 is 25629767
GCF of denominators i.e. for 824,421,276 is 1.
Thus, LCM of Fractions is 25629767.Finally, LCM of Fractions for 347/824, 233/421, 317/276 is 25629767.