Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 923/983, 8302/661 quickly i.e. 7662746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 923/983, 8302/661 is 7662746.
LCM(923/983, 8302/661) = 7662746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 923/983,8302/661
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 923,8302
Least Common Multiple of Numerators i.e. LCM of 923,8302 is 7662746.
GCF of Denominators means GCF of 983,661 as per the given fractions.
GCF of 983,661 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 923,8302
Given numbers has no common factors except 1. So, there LCM is their product i.e 7662746
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 923,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,8302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,8302) x common factors =1 x 1 = 1
LCM(923,8302) = ( 923 × 8302 ) / 1
LCM(923,8302) = 7662746 / 1
LCM(923,8302) = 7662746
Lets's calculate GCF of 983,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7662746/1
Therefore the LCM of Fractions 923/983,8302/661 is 7662746
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 983,661 . The biggest common factor number is the GCF number.
So the greatest common factor 983,661 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 923/983, 8302/661?
Answer: LCM of Numerators as per given numbers 923/983, 8302/661 is
LCM of Numerators i.e. for 923,8302 is 7662746
GCF of denominators i.e. for 983,661 is 1.
Thus, LCM of Fractions is 7662746.Finally, LCM of Fractions for 923/983, 8302/661 is 7662746.