Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/570, 8834/5799 quickly i.e. 362194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/570, 8834/5799 is 362194.
LCM(246/570, 8834/5799) = 362194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/570,8834/5799
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 246,8834
Least Common Multiple of Numerators i.e. LCM of 246,8834 is 1086582.
GCF of Denominators means GCF of 570,5799 as per the given fractions.
GCF of 570,5799 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,8834
2 | 246, 8834 |
123, 4417 |
∴ So the LCM of the given numbers is 2 x 123 x 4417 = 1086582
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 246,8834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,8834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(246,8834) x common factors =2 x 1 = 2
LCM(246,8834) = ( 246 × 8834 ) / 2
LCM(246,8834) = 2173164 / 2
LCM(246,8834) = 1086582
Lets's calculate GCF of 570,5799
3 | 570, 5799 |
190, 1933 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1086582/3
Therefore the LCM of Fractions 246/570,8834/5799 is 362194
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 5799
List of positive integer factors of 5799 that divides 5799 without a remainder.
1,3,1933,5799
Greatest Common Factor
We found the factors 570,5799 . The biggest common factor number is the GCF number.
So the greatest common factor 570,5799 is 3.
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 246/570, 8834/5799?
Answer: LCM of Numerators as per given numbers 246/570, 8834/5799 is
LCM of Numerators i.e. for 246,8834 is 1086582
GCF of denominators i.e. for 570,5799 is 3.
Thus, LCM of Fractions is 362194.Finally, LCM of Fractions for 246/570, 8834/5799 is 362194.