Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4439/712, 9358/467 quickly i.e. 41540162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4439/712, 9358/467 is 41540162.
LCM(4439/712, 9358/467) = 41540162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4439/712,9358/467
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 4439,9358
Least Common Multiple of Numerators i.e. LCM of 4439,9358 is 41540162.
GCF of Denominators means GCF of 712,467 as per the given fractions.
GCF of 712,467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4439,9358
Given numbers has no common factors except 1. So, there LCM is their product i.e 41540162
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 4439,9358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4439,9358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4439,9358) x common factors =1 x 1 = 1
LCM(4439,9358) = ( 4439 × 9358 ) / 1
LCM(4439,9358) = 41540162 / 1
LCM(4439,9358) = 41540162
Lets's calculate GCF of 712,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41540162/1
Therefore the LCM of Fractions 4439/712,9358/467 is 41540162
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Greatest Common Factor
We found the factors 712,467 . The biggest common factor number is the GCF number.
So the greatest common factor 712,467 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 4439/712, 9358/467?
Answer: LCM of Numerators as per given numbers 4439/712, 9358/467 is
LCM of Numerators i.e. for 4439,9358 is 41540162
GCF of denominators i.e. for 712,467 is 1.
Thus, LCM of Fractions is 41540162.Finally, LCM of Fractions for 4439/712, 9358/467 is 41540162.