Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7928/610, 6545/4010 quickly i.e. 5188876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7928/610, 6545/4010 is 5188876.
LCM(7928/610, 6545/4010) = 5188876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7928/610,6545/4010
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 7928,6545
Least Common Multiple of Numerators i.e. LCM of 7928,6545 is 51888760.
GCF of Denominators means GCF of 610,4010 as per the given fractions.
GCF of 610,4010 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7928,6545
Given numbers has no common factors except 1. So, there LCM is their product i.e 51888760
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 7928,6545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7928,6545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7928,6545) x common factors =1 x 1 = 1
LCM(7928,6545) = ( 7928 × 6545 ) / 1
LCM(7928,6545) = 51888760 / 1
LCM(7928,6545) = 51888760
Lets's calculate GCF of 610,4010
2 | 610, 4010 |
5 | 305, 2005 |
61, 401 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51888760/10
Therefore the LCM of Fractions 7928/610,6545/4010 is 5188876
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 4010
List of positive integer factors of 4010 that divides 4010 without a remainder.
1,2,5,10,401,802,2005,4010
Greatest Common Factor
We found the factors 610,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 610,4010 is 10.
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 7928/610, 6545/4010?
Answer: LCM of Numerators as per given numbers 7928/610, 6545/4010 is
LCM of Numerators i.e. for 7928,6545 is 51888760
GCF of denominators i.e. for 610,4010 is 10.
Thus, LCM of Fractions is 5188876.Finally, LCM of Fractions for 7928/610, 6545/4010 is 5188876.