Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5254/390, 8838/788 quickly i.e. 11608713 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5254/390, 8838/788 is 11608713.
LCM(5254/390, 8838/788) = 11608713
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5254/390,8838/788
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 5254,8838
Least Common Multiple of Numerators i.e. LCM of 5254,8838 is 23217426.
GCF of Denominators means GCF of 390,788 as per the given fractions.
GCF of 390,788 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5254,8838
2 | 5254, 8838 |
2627, 4419 |
∴ So the LCM of the given numbers is 2 x 2627 x 4419 = 23217426
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 5254,8838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5254,8838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5254,8838) x common factors =2 x 1 = 2
LCM(5254,8838) = ( 5254 × 8838 ) / 2
LCM(5254,8838) = 46434852 / 2
LCM(5254,8838) = 23217426
Lets's calculate GCF of 390,788
2 | 390, 788 |
195, 394 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23217426/2
Therefore the LCM of Fractions 5254/390,8838/788 is 11608713
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Greatest Common Factor
We found the factors 390,788 . The biggest common factor number is the GCF number.
So the greatest common factor 390,788 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 5254/390, 8838/788?
Answer: LCM of Numerators as per given numbers 5254/390, 8838/788 is
LCM of Numerators i.e. for 5254,8838 is 23217426
GCF of denominators i.e. for 390,788 is 2.
Thus, LCM of Fractions is 11608713.Finally, LCM of Fractions for 5254/390, 8838/788 is 11608713.