Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 869/109, 156/481, 794/250 quickly i.e. 53818908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 869/109, 156/481, 794/250 is 53818908.
LCM(869/109, 156/481, 794/250) = 53818908
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 869/109,156/481,794/250
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 869,156,794
Least Common Multiple of Numerators i.e. LCM of 869,156,794 is 53818908.
GCF of Denominators means GCF of 109,481,250 as per the given fractions.
GCF of 109,481,250 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 869,156,794
2 | 869, 156, 794 |
869, 78, 397 |
∴ So the LCM of the given numbers is 2 x 869 x 78 x 397 = 53818908
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 869,156,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,156,794) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(869,156,794) x common factors =1 x 2 = 2
LCM(869,156,794) = ( 869 × 156 × 794 ) / 2
LCM(869,156,794) = 107637816 / 2
LCM(869,156,794) = 53818908
Lets's calculate GCF of 109,481,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53818908/1
Therefore the LCM of Fractions 869/109,156/481,794/250 is 53818908
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 109,481,250 . The biggest common factor number is the GCF number.
So the greatest common factor 109,481,250 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 869/109, 156/481, 794/250?
Answer: LCM of Numerators as per given numbers 869/109, 156/481, 794/250 is
LCM of Numerators i.e. for 869,156,794 is 53818908
GCF of denominators i.e. for 109,481,250 is 1.
Thus, LCM of Fractions is 53818908.Finally, LCM of Fractions for 869/109, 156/481, 794/250 is 53818908.