Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6584/539, 9288/4627 quickly i.e. 7644024/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6584/539, 9288/4627 is 7644024/7.
LCM(6584/539, 9288/4627) = 7644024/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6584/539,9288/4627
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 6584,9288
Least Common Multiple of Numerators i.e. LCM of 6584,9288 is 7644024.
GCF of Denominators means GCF of 539,4627 as per the given fractions.
GCF of 539,4627 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6584,9288
2 | 6584, 9288 |
2 | 3292, 4644 |
2 | 1646, 2322 |
823, 1161 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 823 x 1161 = 7644024
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 6584,9288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6584,9288) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(6584,9288) x common factors =8 x 1 = 8
LCM(6584,9288) = ( 6584 × 9288 ) / 8
LCM(6584,9288) = 61152192 / 8
LCM(6584,9288) = 7644024
Lets's calculate GCF of 539,4627
7 | 539, 4627 |
77, 661 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7644024/7
Therefore the LCM of Fractions 6584/539,9288/4627 is 7644024/7
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 4627
List of positive integer factors of 4627 that divides 4627 without a remainder.
1,7,661,4627
Greatest Common Factor
We found the factors 539,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 539,4627 is 7.
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 6584/539, 9288/4627?
Answer: LCM of Numerators as per given numbers 6584/539, 9288/4627 is
LCM of Numerators i.e. for 6584,9288 is 7644024
GCF of denominators i.e. for 539,4627 is 7.
Thus, LCM of Fractions is 7644024/7.Finally, LCM of Fractions for 6584/539, 9288/4627 is 7644024/7.