Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/503, 73/414, 101/309 quickly i.e. 7373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/503, 73/414, 101/309 is 7373.
LCM(73/503, 73/414, 101/309) = 7373
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/503,73/414,101/309
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 73,73,101
Least Common Multiple of Numerators i.e. LCM of 73,73,101 is 7373.
GCF of Denominators means GCF of 503,414,309 as per the given fractions.
GCF of 503,414,309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,73,101
73 | 73, 73, 101 |
1, 1, 101 |
∴ So the LCM of the given numbers is 73 x 1 x 1 x 101 = 7373
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 73,73,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,73,101) = 1
common factors(in case of two or more numbers have common factors) = 73
GCF(73,73,101) x common factors =1 x 73 = 73
LCM(73,73,101) = ( 73 × 73 × 101 ) / 73
LCM(73,73,101) = 538229 / 73
LCM(73,73,101) = 7373
Lets's calculate GCF of 503,414,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7373/1
Therefore the LCM of Fractions 73/503,73/414,101/309 is 7373
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 503,414,309 . The biggest common factor number is the GCF number.
So the greatest common factor 503,414,309 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 73/503, 73/414, 101/309?
Answer: LCM of Numerators as per given numbers 73/503, 73/414, 101/309 is
LCM of Numerators i.e. for 73,73,101 is 7373
GCF of denominators i.e. for 503,414,309 is 1.
Thus, LCM of Fractions is 7373.Finally, LCM of Fractions for 73/503, 73/414, 101/309 is 7373.