Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8270/471, 8853/7176 quickly i.e. 24404770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8270/471, 8853/7176 is 24404770.
LCM(8270/471, 8853/7176) = 24404770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8270/471,8853/7176
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 8270,8853
Least Common Multiple of Numerators i.e. LCM of 8270,8853 is 73214310.
GCF of Denominators means GCF of 471,7176 as per the given fractions.
GCF of 471,7176 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8270,8853
Given numbers has no common factors except 1. So, there LCM is their product i.e 73214310
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 8270,8853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8270,8853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8270,8853) x common factors =1 x 1 = 1
LCM(8270,8853) = ( 8270 × 8853 ) / 1
LCM(8270,8853) = 73214310 / 1
LCM(8270,8853) = 73214310
Lets's calculate GCF of 471,7176
3 | 471, 7176 |
157, 2392 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73214310/3
Therefore the LCM of Fractions 8270/471,8853/7176 is 24404770
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 7176
List of positive integer factors of 7176 that divides 7176 without a remainder.
1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 471,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 471,7176 is 3.
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 8270/471, 8853/7176?
Answer: LCM of Numerators as per given numbers 8270/471, 8853/7176 is
LCM of Numerators i.e. for 8270,8853 is 73214310
GCF of denominators i.e. for 471,7176 is 3.
Thus, LCM of Fractions is 24404770.Finally, LCM of Fractions for 8270/471, 8853/7176 is 24404770.