Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 533/87, 879/56, 238/430 quickly i.e. 111504666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 533/87, 879/56, 238/430 is 111504666.
LCM(533/87, 879/56, 238/430) = 111504666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 533/87,879/56,238/430
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 533,879,238
Least Common Multiple of Numerators i.e. LCM of 533,879,238 is 111504666.
GCF of Denominators means GCF of 87,56,430 as per the given fractions.
GCF of 87,56,430 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 533,879,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 111504666
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 533,879,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,879,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,879,238) x common factors =1 x 1 = 1
LCM(533,879,238) = ( 533 × 879 × 238 ) / 1
LCM(533,879,238) = 111504666 / 1
LCM(533,879,238) = 111504666
Lets's calculate GCF of 87,56,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111504666/1
Therefore the LCM of Fractions 533/87,879/56,238/430 is 111504666
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 87,56,430 . The biggest common factor number is the GCF number.
So the greatest common factor 87,56,430 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 533/87, 879/56, 238/430?
Answer: LCM of Numerators as per given numbers 533/87, 879/56, 238/430 is
LCM of Numerators i.e. for 533,879,238 is 111504666
GCF of denominators i.e. for 87,56,430 is 1.
Thus, LCM of Fractions is 111504666.Finally, LCM of Fractions for 533/87, 879/56, 238/430 is 111504666.