Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2528/598, 6707/4878 quickly i.e. 8477648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2528/598, 6707/4878 is 8477648.
LCM(2528/598, 6707/4878) = 8477648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2528/598,6707/4878
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 2528,6707
Least Common Multiple of Numerators i.e. LCM of 2528,6707 is 16955296.
GCF of Denominators means GCF of 598,4878 as per the given fractions.
GCF of 598,4878 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2528,6707
Given numbers has no common factors except 1. So, there LCM is their product i.e 16955296
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 2528,6707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2528,6707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2528,6707) x common factors =1 x 1 = 1
LCM(2528,6707) = ( 2528 × 6707 ) / 1
LCM(2528,6707) = 16955296 / 1
LCM(2528,6707) = 16955296
Lets's calculate GCF of 598,4878
2 | 598, 4878 |
299, 2439 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16955296/2
Therefore the LCM of Fractions 2528/598,6707/4878 is 8477648
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 4878
List of positive integer factors of 4878 that divides 4878 without a remainder.
1,2,3,6,9,18,271,542,813,1626,2439,4878
Greatest Common Factor
We found the factors 598,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 598,4878 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 2528/598, 6707/4878?
Answer: LCM of Numerators as per given numbers 2528/598, 6707/4878 is
LCM of Numerators i.e. for 2528,6707 is 16955296
GCF of denominators i.e. for 598,4878 is 2.
Thus, LCM of Fractions is 8477648.Finally, LCM of Fractions for 2528/598, 6707/4878 is 8477648.