Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 835/800, 936/478 quickly i.e. 390780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 835/800, 936/478 is 390780.
LCM(835/800, 936/478) = 390780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 835/800,936/478
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 835,936
Least Common Multiple of Numerators i.e. LCM of 835,936 is 781560.
GCF of Denominators means GCF of 800,478 as per the given fractions.
GCF of 800,478 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 835,936
Given numbers has no common factors except 1. So, there LCM is their product i.e 781560
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 835,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(835,936) x common factors =1 x 1 = 1
LCM(835,936) = ( 835 × 936 ) / 1
LCM(835,936) = 781560 / 1
LCM(835,936) = 781560
Lets's calculate GCF of 800,478
2 | 800, 478 |
400, 239 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 781560/2
Therefore the LCM of Fractions 835/800,936/478 is 390780
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 800,478 . The biggest common factor number is the GCF number.
So the greatest common factor 800,478 is 2.
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 835/800, 936/478?
Answer: LCM of Numerators as per given numbers 835/800, 936/478 is
LCM of Numerators i.e. for 835,936 is 781560
GCF of denominators i.e. for 800,478 is 2.
Thus, LCM of Fractions is 390780.Finally, LCM of Fractions for 835/800, 936/478 is 390780.