Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4952/570, 1493/9599 quickly i.e. 7393336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4952/570, 1493/9599 is 7393336.
LCM(4952/570, 1493/9599) = 7393336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4952/570,1493/9599
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 4952,1493
Least Common Multiple of Numerators i.e. LCM of 4952,1493 is 7393336.
GCF of Denominators means GCF of 570,9599 as per the given fractions.
GCF of 570,9599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4952,1493
Given numbers has no common factors except 1. So, there LCM is their product i.e 7393336
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 4952,1493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4952,1493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4952,1493) x common factors =1 x 1 = 1
LCM(4952,1493) = ( 4952 × 1493 ) / 1
LCM(4952,1493) = 7393336 / 1
LCM(4952,1493) = 7393336
Lets's calculate GCF of 570,9599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7393336/1
Therefore the LCM of Fractions 4952/570,1493/9599 is 7393336
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 9599
List of positive integer factors of 9599 that divides 9599 without a remainder.
1,29,331,9599
Greatest Common Factor
We found the factors 570,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 570,9599 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 4952/570, 1493/9599?
Answer: LCM of Numerators as per given numbers 4952/570, 1493/9599 is
LCM of Numerators i.e. for 4952,1493 is 7393336
GCF of denominators i.e. for 570,9599 is 1.
Thus, LCM of Fractions is 7393336.Finally, LCM of Fractions for 4952/570, 1493/9599 is 7393336.