Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 457/733, 912/173, 841/904 quickly i.e. 350515344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 457/733, 912/173, 841/904 is 350515344.
LCM(457/733, 912/173, 841/904) = 350515344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 457/733,912/173,841/904
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 457,912,841
Least Common Multiple of Numerators i.e. LCM of 457,912,841 is 350515344.
GCF of Denominators means GCF of 733,173,904 as per the given fractions.
GCF of 733,173,904 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 457,912,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 350515344
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 457,912,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,912,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,912,841) x common factors =1 x 1 = 1
LCM(457,912,841) = ( 457 × 912 × 841 ) / 1
LCM(457,912,841) = 350515344 / 1
LCM(457,912,841) = 350515344
Lets's calculate GCF of 733,173,904
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350515344/1
Therefore the LCM of Fractions 457/733,912/173,841/904 is 350515344
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 733,173,904 . The biggest common factor number is the GCF number.
So the greatest common factor 733,173,904 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 457/733, 912/173, 841/904?
Answer: LCM of Numerators as per given numbers 457/733, 912/173, 841/904 is
LCM of Numerators i.e. for 457,912,841 is 350515344
GCF of denominators i.e. for 733,173,904 is 1.
Thus, LCM of Fractions is 350515344.Finally, LCM of Fractions for 457/733, 912/173, 841/904 is 350515344.