Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 156/588, 4925/7579 quickly i.e. 768300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 156/588, 4925/7579 is 768300.
LCM(156/588, 4925/7579) = 768300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 156/588,4925/7579
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 156,4925
Least Common Multiple of Numerators i.e. LCM of 156,4925 is 768300.
GCF of Denominators means GCF of 588,7579 as per the given fractions.
GCF of 588,7579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 156,4925
Given numbers has no common factors except 1. So, there LCM is their product i.e 768300
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 156,4925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,4925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,4925) x common factors =1 x 1 = 1
LCM(156,4925) = ( 156 × 4925 ) / 1
LCM(156,4925) = 768300 / 1
LCM(156,4925) = 768300
Lets's calculate GCF of 588,7579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768300/1
Therefore the LCM of Fractions 156/588,4925/7579 is 768300
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 7579
List of positive integer factors of 7579 that divides 7579 without a remainder.
1,11,13,53,143,583,689,7579
Greatest Common Factor
We found the factors 588,7579 . The biggest common factor number is the GCF number.
So the greatest common factor 588,7579 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 156/588, 4925/7579?
Answer: LCM of Numerators as per given numbers 156/588, 4925/7579 is
LCM of Numerators i.e. for 156,4925 is 768300
GCF of denominators i.e. for 588,7579 is 1.
Thus, LCM of Fractions is 768300.Finally, LCM of Fractions for 156/588, 4925/7579 is 768300.