Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 536/72, 291/2573 quickly i.e. 155976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 536/72, 291/2573 is 155976.
LCM(536/72, 291/2573) = 155976
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 536/72,291/2573
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 536,291
Least Common Multiple of Numerators i.e. LCM of 536,291 is 155976.
GCF of Denominators means GCF of 72,2573 as per the given fractions.
GCF of 72,2573 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 536,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 155976
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 536,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,291) x common factors =1 x 1 = 1
LCM(536,291) = ( 536 × 291 ) / 1
LCM(536,291) = 155976 / 1
LCM(536,291) = 155976
Lets's calculate GCF of 72,2573
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155976/1
Therefore the LCM of Fractions 536/72,291/2573 is 155976
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 2573
List of positive integer factors of 2573 that divides 2573 without a remainder.
1,31,83,2573
Greatest Common Factor
We found the factors 72,2573 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2573 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 536/72, 291/2573?
Answer: LCM of Numerators as per given numbers 536/72, 291/2573 is
LCM of Numerators i.e. for 536,291 is 155976
GCF of denominators i.e. for 72,2573 is 1.
Thus, LCM of Fractions is 155976.Finally, LCM of Fractions for 536/72, 291/2573 is 155976.