Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 792/407, 8473/319 quickly i.e. 610056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 792/407, 8473/319 is 610056.
LCM(792/407, 8473/319) = 610056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 792/407,8473/319
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 792,8473
Least Common Multiple of Numerators i.e. LCM of 792,8473 is 6710616.
GCF of Denominators means GCF of 407,319 as per the given fractions.
GCF of 407,319 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 792,8473
Given numbers has no common factors except 1. So, there LCM is their product i.e 6710616
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 792,8473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,8473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(792,8473) x common factors =1 x 1 = 1
LCM(792,8473) = ( 792 × 8473 ) / 1
LCM(792,8473) = 6710616 / 1
LCM(792,8473) = 6710616
Lets's calculate GCF of 407,319
11 | 407, 319 |
37, 29 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6710616/11
Therefore the LCM of Fractions 792/407,8473/319 is 610056
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 407,319 . The biggest common factor number is the GCF number.
So the greatest common factor 407,319 is 11.
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 792/407, 8473/319?
Answer: LCM of Numerators as per given numbers 792/407, 8473/319 is
LCM of Numerators i.e. for 792,8473 is 6710616
GCF of denominators i.e. for 407,319 is 11.
Thus, LCM of Fractions is 610056.Finally, LCM of Fractions for 792/407, 8473/319 is 610056.