Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 664/93, 619/79, 723/175 quickly i.e. 297164568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 664/93, 619/79, 723/175 is 297164568.
LCM(664/93, 619/79, 723/175) = 297164568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 664/93,619/79,723/175
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 664,619,723
Least Common Multiple of Numerators i.e. LCM of 664,619,723 is 297164568.
GCF of Denominators means GCF of 93,79,175 as per the given fractions.
GCF of 93,79,175 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 664,619,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 297164568
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 664,619,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,619,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,619,723) x common factors =1 x 1 = 1
LCM(664,619,723) = ( 664 × 619 × 723 ) / 1
LCM(664,619,723) = 297164568 / 1
LCM(664,619,723) = 297164568
Lets's calculate GCF of 93,79,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297164568/1
Therefore the LCM of Fractions 664/93,619/79,723/175 is 297164568
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 93,79,175 . The biggest common factor number is the GCF number.
So the greatest common factor 93,79,175 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 664/93, 619/79, 723/175?
Answer: LCM of Numerators as per given numbers 664/93, 619/79, 723/175 is
LCM of Numerators i.e. for 664,619,723 is 297164568
GCF of denominators i.e. for 93,79,175 is 1.
Thus, LCM of Fractions is 297164568.Finally, LCM of Fractions for 664/93, 619/79, 723/175 is 297164568.