Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 439/71, 935/9270 quickly i.e. 410465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 439/71, 935/9270 is 410465.
LCM(439/71, 935/9270) = 410465
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 439/71,935/9270
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 439,935
Least Common Multiple of Numerators i.e. LCM of 439,935 is 410465.
GCF of Denominators means GCF of 71,9270 as per the given fractions.
GCF of 71,9270 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 439,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 410465
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 439,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,935) x common factors =1 x 1 = 1
LCM(439,935) = ( 439 × 935 ) / 1
LCM(439,935) = 410465 / 1
LCM(439,935) = 410465
Lets's calculate GCF of 71,9270
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410465/1
Therefore the LCM of Fractions 439/71,935/9270 is 410465
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 9270
List of positive integer factors of 9270 that divides 9270 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270
Greatest Common Factor
We found the factors 71,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 71,9270 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 439/71, 935/9270?
Answer: LCM of Numerators as per given numbers 439/71, 935/9270 is
LCM of Numerators i.e. for 439,935 is 410465
GCF of denominators i.e. for 71,9270 is 1.
Thus, LCM of Fractions is 410465.Finally, LCM of Fractions for 439/71, 935/9270 is 410465.