Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 924/786, 1433/816 quickly i.e. 220682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 924/786, 1433/816 is 220682.
LCM(924/786, 1433/816) = 220682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 924/786,1433/816
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 924,1433
Least Common Multiple of Numerators i.e. LCM of 924,1433 is 1324092.
GCF of Denominators means GCF of 786,816 as per the given fractions.
GCF of 786,816 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 924,1433
Given numbers has no common factors except 1. So, there LCM is their product i.e 1324092
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 924,1433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,1433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,1433) x common factors =1 x 1 = 1
LCM(924,1433) = ( 924 × 1433 ) / 1
LCM(924,1433) = 1324092 / 1
LCM(924,1433) = 1324092
Lets's calculate GCF of 786,816
2 | 786, 816 |
3 | 393, 408 |
131, 136 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1324092/6
Therefore the LCM of Fractions 924/786,1433/816 is 220682
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 786,816 . The biggest common factor number is the GCF number.
So the greatest common factor 786,816 is 6.
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 924/786, 1433/816?
Answer: LCM of Numerators as per given numbers 924/786, 1433/816 is
LCM of Numerators i.e. for 924,1433 is 1324092
GCF of denominators i.e. for 786,816 is 6.
Thus, LCM of Fractions is 220682.Finally, LCM of Fractions for 924/786, 1433/816 is 220682.