Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 615/507, 923/804, 473/359 quickly i.e. 268496085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 615/507, 923/804, 473/359 is 268496085.
LCM(615/507, 923/804, 473/359) = 268496085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 615/507,923/804,473/359
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 615,923,473
Least Common Multiple of Numerators i.e. LCM of 615,923,473 is 268496085.
GCF of Denominators means GCF of 507,804,359 as per the given fractions.
GCF of 507,804,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 615,923,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 268496085
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 615,923,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,923,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,923,473) x common factors =1 x 1 = 1
LCM(615,923,473) = ( 615 × 923 × 473 ) / 1
LCM(615,923,473) = 268496085 / 1
LCM(615,923,473) = 268496085
Lets's calculate GCF of 507,804,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268496085/1
Therefore the LCM of Fractions 615/507,923/804,473/359 is 268496085
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 507,804,359 . The biggest common factor number is the GCF number.
So the greatest common factor 507,804,359 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 615/507, 923/804, 473/359?
Answer: LCM of Numerators as per given numbers 615/507, 923/804, 473/359 is
LCM of Numerators i.e. for 615,923,473 is 268496085
GCF of denominators i.e. for 507,804,359 is 1.
Thus, LCM of Fractions is 268496085.Finally, LCM of Fractions for 615/507, 923/804, 473/359 is 268496085.