Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 894/530, 909/866, 179/250 quickly i.e. 24243939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 894/530, 909/866, 179/250 is 24243939.
LCM(894/530, 909/866, 179/250) = 24243939
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 894/530,909/866,179/250
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 894,909,179
Least Common Multiple of Numerators i.e. LCM of 894,909,179 is 48487878.
GCF of Denominators means GCF of 530,866,250 as per the given fractions.
GCF of 530,866,250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 894,909,179
3 | 894, 909, 179 |
298, 303, 179 |
∴ So the LCM of the given numbers is 3 x 298 x 303 x 179 = 48487878
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 894,909,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,909,179) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(894,909,179) x common factors =1 x 3 = 3
LCM(894,909,179) = ( 894 × 909 × 179 ) / 3
LCM(894,909,179) = 145463634 / 3
LCM(894,909,179) = 48487878
Lets's calculate GCF of 530,866,250
2 | 530, 866, 250 |
265, 433, 125 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48487878/2
Therefore the LCM of Fractions 894/530,909/866,179/250 is 24243939
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
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 530,866,250 . The biggest common factor number is the GCF number.
So the greatest common factor 530,866,250 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 894/530, 909/866, 179/250?
Answer: LCM of Numerators as per given numbers 894/530, 909/866, 179/250 is
LCM of Numerators i.e. for 894,909,179 is 48487878
GCF of denominators i.e. for 530,866,250 is 2.
Thus, LCM of Fractions is 24243939.Finally, LCM of Fractions for 894/530, 909/866, 179/250 is 24243939.