Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6446/175, 2041/8210 quickly i.e. 13156286/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6446/175, 2041/8210 is 13156286/5.
LCM(6446/175, 2041/8210) = 13156286/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6446/175,2041/8210
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 6446,2041
Least Common Multiple of Numerators i.e. LCM of 6446,2041 is 13156286.
GCF of Denominators means GCF of 175,8210 as per the given fractions.
GCF of 175,8210 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6446,2041
Given numbers has no common factors except 1. So, there LCM is their product i.e 13156286
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 6446,2041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6446,2041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6446,2041) x common factors =1 x 1 = 1
LCM(6446,2041) = ( 6446 × 2041 ) / 1
LCM(6446,2041) = 13156286 / 1
LCM(6446,2041) = 13156286
Lets's calculate GCF of 175,8210
5 | 175, 8210 |
35, 1642 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13156286/5
Therefore the LCM of Fractions 6446/175,2041/8210 is 13156286/5
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 8210
List of positive integer factors of 8210 that divides 8210 without a remainder.
1,2,5,10,821,1642,4105,8210
Greatest Common Factor
We found the factors 175,8210 . The biggest common factor number is the GCF number.
So the greatest common factor 175,8210 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 6446/175, 2041/8210?
Answer: LCM of Numerators as per given numbers 6446/175, 2041/8210 is
LCM of Numerators i.e. for 6446,2041 is 13156286
GCF of denominators i.e. for 175,8210 is 5.
Thus, LCM of Fractions is 13156286/5.Finally, LCM of Fractions for 6446/175, 2041/8210 is 13156286/5.