Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8331/723, 8148/946 quickly i.e. 22626996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8331/723, 8148/946 is 22626996.
LCM(8331/723, 8148/946) = 22626996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8331/723,8148/946
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 8331,8148
Least Common Multiple of Numerators i.e. LCM of 8331,8148 is 22626996.
GCF of Denominators means GCF of 723,946 as per the given fractions.
GCF of 723,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8331,8148
3 | 8331, 8148 |
2777, 2716 |
∴ So the LCM of the given numbers is 3 x 2777 x 2716 = 22626996
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 8331,8148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8331,8148) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8331,8148) x common factors =3 x 1 = 3
LCM(8331,8148) = ( 8331 × 8148 ) / 3
LCM(8331,8148) = 67880988 / 3
LCM(8331,8148) = 22626996
Lets's calculate GCF of 723,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22626996/1
Therefore the LCM of Fractions 8331/723,8148/946 is 22626996
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 723,946 . The biggest common factor number is the GCF number.
So the greatest common factor 723,946 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 8331/723, 8148/946?
Answer: LCM of Numerators as per given numbers 8331/723, 8148/946 is
LCM of Numerators i.e. for 8331,8148 is 22626996
GCF of denominators i.e. for 723,946 is 1.
Thus, LCM of Fractions is 22626996.Finally, LCM of Fractions for 8331/723, 8148/946 is 22626996.