Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2644/475, 6859/8165 quickly i.e. 18135196/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2644/475, 6859/8165 is 18135196/5.
LCM(2644/475, 6859/8165) = 18135196/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2644/475,6859/8165
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 2644,6859
Least Common Multiple of Numerators i.e. LCM of 2644,6859 is 18135196.
GCF of Denominators means GCF of 475,8165 as per the given fractions.
GCF of 475,8165 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2644,6859
Given numbers has no common factors except 1. So, there LCM is their product i.e 18135196
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 2644,6859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2644,6859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2644,6859) x common factors =1 x 1 = 1
LCM(2644,6859) = ( 2644 × 6859 ) / 1
LCM(2644,6859) = 18135196 / 1
LCM(2644,6859) = 18135196
Lets's calculate GCF of 475,8165
5 | 475, 8165 |
95, 1633 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18135196/5
Therefore the LCM of Fractions 2644/475,6859/8165 is 18135196/5
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 8165
List of positive integer factors of 8165 that divides 8165 without a remainder.
1,5,23,71,115,355,1633,8165
Greatest Common Factor
We found the factors 475,8165 . The biggest common factor number is the GCF number.
So the greatest common factor 475,8165 is 5.
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 2644/475, 6859/8165?
Answer: LCM of Numerators as per given numbers 2644/475, 6859/8165 is
LCM of Numerators i.e. for 2644,6859 is 18135196
GCF of denominators i.e. for 475,8165 is 5.
Thus, LCM of Fractions is 18135196/5.Finally, LCM of Fractions for 2644/475, 6859/8165 is 18135196/5.