Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 854/13, 807/9916 quickly i.e. 689178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 854/13, 807/9916 is 689178.
LCM(854/13, 807/9916) = 689178
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 854/13,807/9916
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 854,807
Least Common Multiple of Numerators i.e. LCM of 854,807 is 689178.
GCF of Denominators means GCF of 13,9916 as per the given fractions.
GCF of 13,9916 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 854,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 689178
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 854,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,807) x common factors =1 x 1 = 1
LCM(854,807) = ( 854 × 807 ) / 1
LCM(854,807) = 689178 / 1
LCM(854,807) = 689178
Lets's calculate GCF of 13,9916
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689178/1
Therefore the LCM of Fractions 854/13,807/9916 is 689178
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 9916
List of positive integer factors of 9916 that divides 9916 without a remainder.
1,2,4,37,67,74,134,148,268,2479,4958,9916
Greatest Common Factor
We found the factors 13,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 13,9916 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 854/13, 807/9916?
Answer: LCM of Numerators as per given numbers 854/13, 807/9916 is
LCM of Numerators i.e. for 854,807 is 689178
GCF of denominators i.e. for 13,9916 is 1.
Thus, LCM of Fractions is 689178.Finally, LCM of Fractions for 854/13, 807/9916 is 689178.