Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/591, 464/542, 649/775 quickly i.e. 4517040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/591, 464/542, 649/775 is 4517040.
LCM(60/591, 464/542, 649/775) = 4517040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/591,464/542,649/775
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 60,464,649
Least Common Multiple of Numerators i.e. LCM of 60,464,649 is 4517040.
GCF of Denominators means GCF of 591,542,775 as per the given fractions.
GCF of 591,542,775 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,464,649
2 | 60, 464, 649 |
2 | 30, 232, 649 |
15, 116, 649 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 116 x 649 = 4517040
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 60,464,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,464,649) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(60,464,649) x common factors =1 x 4 = 4
LCM(60,464,649) = ( 60 × 464 × 649 ) / 4
LCM(60,464,649) = 18068160 / 4
LCM(60,464,649) = 4517040
Lets's calculate GCF of 591,542,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4517040/1
Therefore the LCM of Fractions 60/591,464/542,649/775 is 4517040
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 591,542,775 . The biggest common factor number is the GCF number.
So the greatest common factor 591,542,775 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 60/591, 464/542, 649/775?
Answer: LCM of Numerators as per given numbers 60/591, 464/542, 649/775 is
LCM of Numerators i.e. for 60,464,649 is 4517040
GCF of denominators i.e. for 591,542,775 is 1.
Thus, LCM of Fractions is 4517040.Finally, LCM of Fractions for 60/591, 464/542, 649/775 is 4517040.