Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6610/702, 7268/5045 quickly i.e. 24020740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6610/702, 7268/5045 is 24020740.
LCM(6610/702, 7268/5045) = 24020740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6610/702,7268/5045
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 6610,7268
Least Common Multiple of Numerators i.e. LCM of 6610,7268 is 24020740.
GCF of Denominators means GCF of 702,5045 as per the given fractions.
GCF of 702,5045 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6610,7268
2 | 6610, 7268 |
3305, 3634 |
∴ So the LCM of the given numbers is 2 x 3305 x 3634 = 24020740
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 6610,7268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6610,7268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6610,7268) x common factors =2 x 1 = 2
LCM(6610,7268) = ( 6610 × 7268 ) / 2
LCM(6610,7268) = 48041480 / 2
LCM(6610,7268) = 24020740
Lets's calculate GCF of 702,5045
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24020740/1
Therefore the LCM of Fractions 6610/702,7268/5045 is 24020740
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 5045
List of positive integer factors of 5045 that divides 5045 without a remainder.
1,5,1009,5045
Greatest Common Factor
We found the factors 702,5045 . The biggest common factor number is the GCF number.
So the greatest common factor 702,5045 is 1.
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 6610/702, 7268/5045?
Answer: LCM of Numerators as per given numbers 6610/702, 7268/5045 is
LCM of Numerators i.e. for 6610,7268 is 24020740
GCF of denominators i.e. for 702,5045 is 1.
Thus, LCM of Fractions is 24020740.Finally, LCM of Fractions for 6610/702, 7268/5045 is 24020740.