Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/280, 8351/9461 quickly i.e. 7390635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/280, 8351/9461 is 7390635.
LCM(885/280, 8351/9461) = 7390635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/280,8351/9461
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 885,8351
Least Common Multiple of Numerators i.e. LCM of 885,8351 is 7390635.
GCF of Denominators means GCF of 280,9461 as per the given fractions.
GCF of 280,9461 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,8351
Given numbers has no common factors except 1. So, there LCM is their product i.e 7390635
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 885,8351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,8351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,8351) x common factors =1 x 1 = 1
LCM(885,8351) = ( 885 × 8351 ) / 1
LCM(885,8351) = 7390635 / 1
LCM(885,8351) = 7390635
Lets's calculate GCF of 280,9461
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7390635/1
Therefore the LCM of Fractions 885/280,8351/9461 is 7390635
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 9461
List of positive integer factors of 9461 that divides 9461 without a remainder.
1,9461
Greatest Common Factor
We found the factors 280,9461 . The biggest common factor number is the GCF number.
So the greatest common factor 280,9461 is 1.
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 885/280, 8351/9461?
Answer: LCM of Numerators as per given numbers 885/280, 8351/9461 is
LCM of Numerators i.e. for 885,8351 is 7390635
GCF of denominators i.e. for 280,9461 is 1.
Thus, LCM of Fractions is 7390635.Finally, LCM of Fractions for 885/280, 8351/9461 is 7390635.