Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3128/164, 3515/8248 quickly i.e. 2748730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3128/164, 3515/8248 is 2748730.
LCM(3128/164, 3515/8248) = 2748730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3128/164,3515/8248
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 3128,3515
Least Common Multiple of Numerators i.e. LCM of 3128,3515 is 10994920.
GCF of Denominators means GCF of 164,8248 as per the given fractions.
GCF of 164,8248 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3128,3515
Given numbers has no common factors except 1. So, there LCM is their product i.e 10994920
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 3128,3515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3128,3515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3128,3515) x common factors =1 x 1 = 1
LCM(3128,3515) = ( 3128 × 3515 ) / 1
LCM(3128,3515) = 10994920 / 1
LCM(3128,3515) = 10994920
Lets's calculate GCF of 164,8248
2 | 164, 8248 |
2 | 82, 4124 |
41, 2062 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10994920/4
Therefore the LCM of Fractions 3128/164,3515/8248 is 2748730
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 8248
List of positive integer factors of 8248 that divides 8248 without a remainder.
1,2,4,8,1031,2062,4124,8248
Greatest Common Factor
We found the factors 164,8248 . The biggest common factor number is the GCF number.
So the greatest common factor 164,8248 is 4.
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 3128/164, 3515/8248?
Answer: LCM of Numerators as per given numbers 3128/164, 3515/8248 is
LCM of Numerators i.e. for 3128,3515 is 10994920
GCF of denominators i.e. for 164,8248 is 4.
Thus, LCM of Fractions is 2748730.Finally, LCM of Fractions for 3128/164, 3515/8248 is 2748730.