Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/571, 56/282, 933/216 quickly i.e. 4127592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/571, 56/282, 933/216 is 4127592.
LCM(79/571, 56/282, 933/216) = 4127592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/571,56/282,933/216
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 79,56,933
Least Common Multiple of Numerators i.e. LCM of 79,56,933 is 4127592.
GCF of Denominators means GCF of 571,282,216 as per the given fractions.
GCF of 571,282,216 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,56,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 4127592
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 79,56,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,56,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,56,933) x common factors =1 x 1 = 1
LCM(79,56,933) = ( 79 × 56 × 933 ) / 1
LCM(79,56,933) = 4127592 / 1
LCM(79,56,933) = 4127592
Lets's calculate GCF of 571,282,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4127592/1
Therefore the LCM of Fractions 79/571,56/282,933/216 is 4127592
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 571,282,216 . The biggest common factor number is the GCF number.
So the greatest common factor 571,282,216 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 79/571, 56/282, 933/216?
Answer: LCM of Numerators as per given numbers 79/571, 56/282, 933/216 is
LCM of Numerators i.e. for 79,56,933 is 4127592
GCF of denominators i.e. for 571,282,216 is 1.
Thus, LCM of Fractions is 4127592.Finally, LCM of Fractions for 79/571, 56/282, 933/216 is 4127592.