Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/583, 4973/9394 quickly i.e. 472435/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/583, 4973/9394 is 472435/11.
LCM(95/583, 4973/9394) = 472435/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/583,4973/9394
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 95,4973
Least Common Multiple of Numerators i.e. LCM of 95,4973 is 472435.
GCF of Denominators means GCF of 583,9394 as per the given fractions.
GCF of 583,9394 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,4973
Given numbers has no common factors except 1. So, there LCM is their product i.e 472435
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 95,4973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,4973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,4973) x common factors =1 x 1 = 1
LCM(95,4973) = ( 95 × 4973 ) / 1
LCM(95,4973) = 472435 / 1
LCM(95,4973) = 472435
Lets's calculate GCF of 583,9394
11 | 583, 9394 |
53, 854 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472435/11
Therefore the LCM of Fractions 95/583,4973/9394 is 472435/11
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 9394
List of positive integer factors of 9394 that divides 9394 without a remainder.
1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394
Greatest Common Factor
We found the factors 583,9394 . The biggest common factor number is the GCF number.
So the greatest common factor 583,9394 is 11.
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 95/583, 4973/9394?
Answer: LCM of Numerators as per given numbers 95/583, 4973/9394 is
LCM of Numerators i.e. for 95,4973 is 472435
GCF of denominators i.e. for 583,9394 is 11.
Thus, LCM of Fractions is 472435/11.Finally, LCM of Fractions for 95/583, 4973/9394 is 472435/11.