Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6586/642, 1328/9052 quickly i.e. 2186552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6586/642, 1328/9052 is 2186552.
LCM(6586/642, 1328/9052) = 2186552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6586/642,1328/9052
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 6586,1328
Least Common Multiple of Numerators i.e. LCM of 6586,1328 is 4373104.
GCF of Denominators means GCF of 642,9052 as per the given fractions.
GCF of 642,9052 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6586,1328
2 | 6586, 1328 |
3293, 664 |
∴ So the LCM of the given numbers is 2 x 3293 x 664 = 4373104
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 6586,1328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6586,1328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6586,1328) x common factors =2 x 1 = 2
LCM(6586,1328) = ( 6586 × 1328 ) / 2
LCM(6586,1328) = 8746208 / 2
LCM(6586,1328) = 4373104
Lets's calculate GCF of 642,9052
2 | 642, 9052 |
321, 4526 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4373104/2
Therefore the LCM of Fractions 6586/642,1328/9052 is 2186552
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 9052
List of positive integer factors of 9052 that divides 9052 without a remainder.
1,2,4,31,62,73,124,146,292,2263,4526,9052
Greatest Common Factor
We found the factors 642,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 642,9052 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 6586/642, 1328/9052?
Answer: LCM of Numerators as per given numbers 6586/642, 1328/9052 is
LCM of Numerators i.e. for 6586,1328 is 4373104
GCF of denominators i.e. for 642,9052 is 2.
Thus, LCM of Fractions is 2186552.Finally, LCM of Fractions for 6586/642, 1328/9052 is 2186552.