Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 407/299, 766/922 quickly i.e. 311762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 407/299, 766/922 is 311762.
LCM(407/299, 766/922) = 311762
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 407/299,766/922
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 407,766
Least Common Multiple of Numerators i.e. LCM of 407,766 is 311762.
GCF of Denominators means GCF of 299,922 as per the given fractions.
GCF of 299,922 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 407,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 311762
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 407,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,766) x common factors =1 x 1 = 1
LCM(407,766) = ( 407 × 766 ) / 1
LCM(407,766) = 311762 / 1
LCM(407,766) = 311762
Lets's calculate GCF of 299,922
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311762/1
Therefore the LCM of Fractions 407/299,766/922 is 311762
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 299,922 . The biggest common factor number is the GCF number.
So the greatest common factor 299,922 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 407/299, 766/922?
Answer: LCM of Numerators as per given numbers 407/299, 766/922 is
LCM of Numerators i.e. for 407,766 is 311762
GCF of denominators i.e. for 299,922 is 1.
Thus, LCM of Fractions is 311762.Finally, LCM of Fractions for 407/299, 766/922 is 311762.