Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 439/90, 315/759 quickly i.e. 46095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 439/90, 315/759 is 46095.
LCM(439/90, 315/759) = 46095
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 439/90,315/759
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 439,315
Least Common Multiple of Numerators i.e. LCM of 439,315 is 138285.
GCF of Denominators means GCF of 90,759 as per the given fractions.
GCF of 90,759 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 439,315
Given numbers has no common factors except 1. So, there LCM is their product i.e 138285
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 439,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,315) x common factors =1 x 1 = 1
LCM(439,315) = ( 439 × 315 ) / 1
LCM(439,315) = 138285 / 1
LCM(439,315) = 138285
Lets's calculate GCF of 90,759
3 | 90, 759 |
30, 253 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138285/3
Therefore the LCM of Fractions 439/90,315/759 is 46095
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 90,759 . The biggest common factor number is the GCF number.
So the greatest common factor 90,759 is 3.
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 439/90, 315/759?
Answer: LCM of Numerators as per given numbers 439/90, 315/759 is
LCM of Numerators i.e. for 439,315 is 138285
GCF of denominators i.e. for 90,759 is 3.
Thus, LCM of Fractions is 46095.Finally, LCM of Fractions for 439/90, 315/759 is 46095.