Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 571/532, 4789/399 quickly i.e. 2734519/133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 571/532, 4789/399 is 2734519/133.
LCM(571/532, 4789/399) = 2734519/133
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 571/532,4789/399
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 571,4789
Least Common Multiple of Numerators i.e. LCM of 571,4789 is 2734519.
GCF of Denominators means GCF of 532,399 as per the given fractions.
GCF of 532,399 is 133 as it is the largest common factor for these numbers.
Lets's calculate LCM of 571,4789
Given numbers has no common factors except 1. So, there LCM is their product i.e 2734519
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 571,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,4789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,4789) x common factors =1 x 1 = 1
LCM(571,4789) = ( 571 × 4789 ) / 1
LCM(571,4789) = 2734519 / 1
LCM(571,4789) = 2734519
Lets's calculate GCF of 532,399
7 | 532, 399 |
19 | 76, 57 |
4, 3 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2734519/133
Therefore the LCM of Fractions 571/532,4789/399 is 2734519/133
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 532,399 . The biggest common factor number is the GCF number.
So the greatest common factor 532,399 is 133.
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 571/532, 4789/399?
Answer: LCM of Numerators as per given numbers 571/532, 4789/399 is
LCM of Numerators i.e. for 571,4789 is 2734519
GCF of denominators i.e. for 532,399 is 133.
Thus, LCM of Fractions is 2734519/133.Finally, LCM of Fractions for 571/532, 4789/399 is 2734519/133.