Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 929/72, 803/74, 604/13 quickly i.e. 450576148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 929/72, 803/74, 604/13 is 450576148.
LCM(929/72, 803/74, 604/13) = 450576148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 929/72,803/74,604/13
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 929,803,604
Least Common Multiple of Numerators i.e. LCM of 929,803,604 is 450576148.
GCF of Denominators means GCF of 72,74,13 as per the given fractions.
GCF of 72,74,13 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 929,803,604
Given numbers has no common factors except 1. So, there LCM is their product i.e 450576148
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 929,803,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,803,604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,803,604) x common factors =1 x 1 = 1
LCM(929,803,604) = ( 929 × 803 × 604 ) / 1
LCM(929,803,604) = 450576148 / 1
LCM(929,803,604) = 450576148
Lets's calculate GCF of 72,74,13
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450576148/1
Therefore the LCM of Fractions 929/72,803/74,604/13 is 450576148
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Greatest Common Factor
We found the factors 72,74,13 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,13 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 929/72, 803/74, 604/13?
Answer: LCM of Numerators as per given numbers 929/72, 803/74, 604/13 is
LCM of Numerators i.e. for 929,803,604 is 450576148
GCF of denominators i.e. for 72,74,13 is 1.
Thus, LCM of Fractions is 450576148.Finally, LCM of Fractions for 929/72, 803/74, 604/13 is 450576148.