Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 583/895, 889/392, 753/581 quickly i.e. 390270111 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 583/895, 889/392, 753/581 is 390270111.
LCM(583/895, 889/392, 753/581) = 390270111
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 583/895,889/392,753/581
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 583,889,753
Least Common Multiple of Numerators i.e. LCM of 583,889,753 is 390270111.
GCF of Denominators means GCF of 895,392,581 as per the given fractions.
GCF of 895,392,581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 583,889,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 390270111
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 583,889,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,889,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,889,753) x common factors =1 x 1 = 1
LCM(583,889,753) = ( 583 × 889 × 753 ) / 1
LCM(583,889,753) = 390270111 / 1
LCM(583,889,753) = 390270111
Lets's calculate GCF of 895,392,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390270111/1
Therefore the LCM of Fractions 583/895,889/392,753/581 is 390270111
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 895,392,581 . The biggest common factor number is the GCF number.
So the greatest common factor 895,392,581 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 583/895, 889/392, 753/581?
Answer: LCM of Numerators as per given numbers 583/895, 889/392, 753/581 is
LCM of Numerators i.e. for 583,889,753 is 390270111
GCF of denominators i.e. for 895,392,581 is 1.
Thus, LCM of Fractions is 390270111.Finally, LCM of Fractions for 583/895, 889/392, 753/581 is 390270111.