Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 629/515, 377/323, 830/444 quickly i.e. 196820390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 629/515, 377/323, 830/444 is 196820390.
LCM(629/515, 377/323, 830/444) = 196820390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 629/515,377/323,830/444
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 629,377,830
Least Common Multiple of Numerators i.e. LCM of 629,377,830 is 196820390.
GCF of Denominators means GCF of 515,323,444 as per the given fractions.
GCF of 515,323,444 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 629,377,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 196820390
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 629,377,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,377,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,377,830) x common factors =1 x 1 = 1
LCM(629,377,830) = ( 629 × 377 × 830 ) / 1
LCM(629,377,830) = 196820390 / 1
LCM(629,377,830) = 196820390
Lets's calculate GCF of 515,323,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196820390/1
Therefore the LCM of Fractions 629/515,377/323,830/444 is 196820390
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 515,323,444 . The biggest common factor number is the GCF number.
So the greatest common factor 515,323,444 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 629/515, 377/323, 830/444?
Answer: LCM of Numerators as per given numbers 629/515, 377/323, 830/444 is
LCM of Numerators i.e. for 629,377,830 is 196820390
GCF of denominators i.e. for 515,323,444 is 1.
Thus, LCM of Fractions is 196820390.Finally, LCM of Fractions for 629/515, 377/323, 830/444 is 196820390.