Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8511/903, 5008/166 quickly i.e. 42623088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8511/903, 5008/166 is 42623088.
LCM(8511/903, 5008/166) = 42623088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8511/903,5008/166
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 8511,5008
Least Common Multiple of Numerators i.e. LCM of 8511,5008 is 42623088.
GCF of Denominators means GCF of 903,166 as per the given fractions.
GCF of 903,166 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8511,5008
Given numbers has no common factors except 1. So, there LCM is their product i.e 42623088
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 8511,5008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8511,5008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8511,5008) x common factors =1 x 1 = 1
LCM(8511,5008) = ( 8511 × 5008 ) / 1
LCM(8511,5008) = 42623088 / 1
LCM(8511,5008) = 42623088
Lets's calculate GCF of 903,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42623088/1
Therefore the LCM of Fractions 8511/903,5008/166 is 42623088
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 903,166 . The biggest common factor number is the GCF number.
So the greatest common factor 903,166 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 8511/903, 5008/166?
Answer: LCM of Numerators as per given numbers 8511/903, 5008/166 is
LCM of Numerators i.e. for 8511,5008 is 42623088
GCF of denominators i.e. for 903,166 is 1.
Thus, LCM of Fractions is 42623088.Finally, LCM of Fractions for 8511/903, 5008/166 is 42623088.