Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8404/792, 6783/142 quickly i.e. 28502166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8404/792, 6783/142 is 28502166.
LCM(8404/792, 6783/142) = 28502166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8404/792,6783/142
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 8404,6783
Least Common Multiple of Numerators i.e. LCM of 8404,6783 is 57004332.
GCF of Denominators means GCF of 792,142 as per the given fractions.
GCF of 792,142 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8404,6783
Given numbers has no common factors except 1. So, there LCM is their product i.e 57004332
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 8404,6783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8404,6783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8404,6783) x common factors =1 x 1 = 1
LCM(8404,6783) = ( 8404 × 6783 ) / 1
LCM(8404,6783) = 57004332 / 1
LCM(8404,6783) = 57004332
Lets's calculate GCF of 792,142
2 | 792, 142 |
396, 71 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57004332/2
Therefore the LCM of Fractions 8404/792,6783/142 is 28502166
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 792,142 . The biggest common factor number is the GCF number.
So the greatest common factor 792,142 is 2.
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 8404/792, 6783/142?
Answer: LCM of Numerators as per given numbers 8404/792, 6783/142 is
LCM of Numerators i.e. for 8404,6783 is 57004332
GCF of denominators i.e. for 792,142 is 2.
Thus, LCM of Fractions is 28502166.Finally, LCM of Fractions for 8404/792, 6783/142 is 28502166.