Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 835/319, 179/400, 638/116 quickly i.e. 95358670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 835/319, 179/400, 638/116 is 95358670.
LCM(835/319, 179/400, 638/116) = 95358670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 835/319,179/400,638/116
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 835,179,638
Least Common Multiple of Numerators i.e. LCM of 835,179,638 is 95358670.
GCF of Denominators means GCF of 319,400,116 as per the given fractions.
GCF of 319,400,116 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 835,179,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 95358670
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 835,179,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,179,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,179,638) x common factors =1 x 1 = 1
LCM(835,179,638) = ( 835 × 179 × 638 ) / 1
LCM(835,179,638) = 95358670 / 1
LCM(835,179,638) = 95358670
Lets's calculate GCF of 319,400,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95358670/1
Therefore the LCM of Fractions 835/319,179/400,638/116 is 95358670
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 319,400,116 . The biggest common factor number is the GCF number.
So the greatest common factor 319,400,116 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 835/319, 179/400, 638/116?
Answer: LCM of Numerators as per given numbers 835/319, 179/400, 638/116 is
LCM of Numerators i.e. for 835,179,638 is 95358670
GCF of denominators i.e. for 319,400,116 is 1.
Thus, LCM of Fractions is 95358670.Finally, LCM of Fractions for 835/319, 179/400, 638/116 is 95358670.