Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9203/621, 2518/8767 quickly i.e. 23173154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9203/621, 2518/8767 is 23173154.
LCM(9203/621, 2518/8767) = 23173154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9203/621,2518/8767
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 9203,2518
Least Common Multiple of Numerators i.e. LCM of 9203,2518 is 23173154.
GCF of Denominators means GCF of 621,8767 as per the given fractions.
GCF of 621,8767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9203,2518
Given numbers has no common factors except 1. So, there LCM is their product i.e 23173154
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 9203,2518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9203,2518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9203,2518) x common factors =1 x 1 = 1
LCM(9203,2518) = ( 9203 × 2518 ) / 1
LCM(9203,2518) = 23173154 / 1
LCM(9203,2518) = 23173154
Lets's calculate GCF of 621,8767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23173154/1
Therefore the LCM of Fractions 9203/621,2518/8767 is 23173154
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 8767
List of positive integer factors of 8767 that divides 8767 without a remainder.
1,11,797,8767
Greatest Common Factor
We found the factors 621,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 621,8767 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 9203/621, 2518/8767?
Answer: LCM of Numerators as per given numbers 9203/621, 2518/8767 is
LCM of Numerators i.e. for 9203,2518 is 23173154
GCF of denominators i.e. for 621,8767 is 1.
Thus, LCM of Fractions is 23173154.Finally, LCM of Fractions for 9203/621, 2518/8767 is 23173154.