Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6523/786, 8888/582 quickly i.e. 5270584/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6523/786, 8888/582 is 5270584/6.
LCM(6523/786, 8888/582) = 5270584/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6523/786,8888/582
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 6523,8888
Least Common Multiple of Numerators i.e. LCM of 6523,8888 is 5270584.
GCF of Denominators means GCF of 786,582 as per the given fractions.
GCF of 786,582 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6523,8888
11 | 6523, 8888 |
593, 808 |
∴ So the LCM of the given numbers is 11 x 593 x 808 = 5270584
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 6523,8888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6523,8888) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(6523,8888) x common factors =11 x 1 = 11
LCM(6523,8888) = ( 6523 × 8888 ) / 11
LCM(6523,8888) = 57976424 / 11
LCM(6523,8888) = 5270584
Lets's calculate GCF of 786,582
2 | 786, 582 |
3 | 393, 291 |
131, 97 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5270584/6
Therefore the LCM of Fractions 6523/786,8888/582 is 5270584/6
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 786,582 . The biggest common factor number is the GCF number.
So the greatest common factor 786,582 is 6.
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 6523/786, 8888/582?
Answer: LCM of Numerators as per given numbers 6523/786, 8888/582 is
LCM of Numerators i.e. for 6523,8888 is 5270584
GCF of denominators i.e. for 786,582 is 6.
Thus, LCM of Fractions is 5270584/6.Finally, LCM of Fractions for 6523/786, 8888/582 is 5270584/6.