Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8061/632, 7342/2470 quickly i.e. 29591931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8061/632, 7342/2470 is 29591931.
LCM(8061/632, 7342/2470) = 29591931
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8061/632,7342/2470
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 8061,7342
Least Common Multiple of Numerators i.e. LCM of 8061,7342 is 59183862.
GCF of Denominators means GCF of 632,2470 as per the given fractions.
GCF of 632,2470 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8061,7342
Given numbers has no common factors except 1. So, there LCM is their product i.e 59183862
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 8061,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8061,7342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8061,7342) x common factors =1 x 1 = 1
LCM(8061,7342) = ( 8061 × 7342 ) / 1
LCM(8061,7342) = 59183862 / 1
LCM(8061,7342) = 59183862
Lets's calculate GCF of 632,2470
2 | 632, 2470 |
316, 1235 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59183862/2
Therefore the LCM of Fractions 8061/632,7342/2470 is 29591931
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 2470
List of positive integer factors of 2470 that divides 2470 without a remainder.
1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Greatest Common Factor
We found the factors 632,2470 . The biggest common factor number is the GCF number.
So the greatest common factor 632,2470 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 8061/632, 7342/2470?
Answer: LCM of Numerators as per given numbers 8061/632, 7342/2470 is
LCM of Numerators i.e. for 8061,7342 is 59183862
GCF of denominators i.e. for 632,2470 is 2.
Thus, LCM of Fractions is 29591931.Finally, LCM of Fractions for 8061/632, 7342/2470 is 29591931.