Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3164/744, 5731/173 quickly i.e. 18132884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3164/744, 5731/173 is 18132884.
LCM(3164/744, 5731/173) = 18132884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3164/744,5731/173
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 3164,5731
Least Common Multiple of Numerators i.e. LCM of 3164,5731 is 18132884.
GCF of Denominators means GCF of 744,173 as per the given fractions.
GCF of 744,173 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3164,5731
Given numbers has no common factors except 1. So, there LCM is their product i.e 18132884
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 3164,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3164,5731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3164,5731) x common factors =1 x 1 = 1
LCM(3164,5731) = ( 3164 × 5731 ) / 1
LCM(3164,5731) = 18132884 / 1
LCM(3164,5731) = 18132884
Lets's calculate GCF of 744,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18132884/1
Therefore the LCM of Fractions 3164/744,5731/173 is 18132884
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 744,173 . The biggest common factor number is the GCF number.
So the greatest common factor 744,173 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 3164/744, 5731/173?
Answer: LCM of Numerators as per given numbers 3164/744, 5731/173 is
LCM of Numerators i.e. for 3164,5731 is 18132884
GCF of denominators i.e. for 744,173 is 1.
Thus, LCM of Fractions is 18132884.Finally, LCM of Fractions for 3164/744, 5731/173 is 18132884.