Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 641/13, 592/29, 729/944 quickly i.e. 276635088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 641/13, 592/29, 729/944 is 276635088.
LCM(641/13, 592/29, 729/944) = 276635088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 641/13,592/29,729/944
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 641,592,729
Least Common Multiple of Numerators i.e. LCM of 641,592,729 is 276635088.
GCF of Denominators means GCF of 13,29,944 as per the given fractions.
GCF of 13,29,944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 641,592,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 276635088
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 641,592,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,592,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,592,729) x common factors =1 x 1 = 1
LCM(641,592,729) = ( 641 × 592 × 729 ) / 1
LCM(641,592,729) = 276635088 / 1
LCM(641,592,729) = 276635088
Lets's calculate GCF of 13,29,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276635088/1
Therefore the LCM of Fractions 641/13,592/29,729/944 is 276635088
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 13,29,944 . The biggest common factor number is the GCF number.
So the greatest common factor 13,29,944 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 641/13, 592/29, 729/944?
Answer: LCM of Numerators as per given numbers 641/13, 592/29, 729/944 is
LCM of Numerators i.e. for 641,592,729 is 276635088
GCF of denominators i.e. for 13,29,944 is 1.
Thus, LCM of Fractions is 276635088.Finally, LCM of Fractions for 641/13, 592/29, 729/944 is 276635088.