Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7445/766, 4377/799 quickly i.e. 32586765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7445/766, 4377/799 is 32586765.
LCM(7445/766, 4377/799) = 32586765
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7445/766,4377/799
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 7445,4377
Least Common Multiple of Numerators i.e. LCM of 7445,4377 is 32586765.
GCF of Denominators means GCF of 766,799 as per the given fractions.
GCF of 766,799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7445,4377
Given numbers has no common factors except 1. So, there LCM is their product i.e 32586765
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 7445,4377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7445,4377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7445,4377) x common factors =1 x 1 = 1
LCM(7445,4377) = ( 7445 × 4377 ) / 1
LCM(7445,4377) = 32586765 / 1
LCM(7445,4377) = 32586765
Lets's calculate GCF of 766,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32586765/1
Therefore the LCM of Fractions 7445/766,4377/799 is 32586765
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 766,799 . The biggest common factor number is the GCF number.
So the greatest common factor 766,799 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 7445/766, 4377/799?
Answer: LCM of Numerators as per given numbers 7445/766, 4377/799 is
LCM of Numerators i.e. for 7445,4377 is 32586765
GCF of denominators i.e. for 766,799 is 1.
Thus, LCM of Fractions is 32586765.Finally, LCM of Fractions for 7445/766, 4377/799 is 32586765.