Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/738, 699/903, 121/411 quickly i.e. 817597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/738, 699/903, 121/411 is 817597.
LCM(29/738, 699/903, 121/411) = 817597
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/738,699/903,121/411
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 29,699,121
Least Common Multiple of Numerators i.e. LCM of 29,699,121 is 2452791.
GCF of Denominators means GCF of 738,903,411 as per the given fractions.
GCF of 738,903,411 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,699,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 2452791
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 29,699,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,699,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,699,121) x common factors =1 x 1 = 1
LCM(29,699,121) = ( 29 × 699 × 121 ) / 1
LCM(29,699,121) = 2452791 / 1
LCM(29,699,121) = 2452791
Lets's calculate GCF of 738,903,411
3 | 738, 903, 411 |
246, 301, 137 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2452791/3
Therefore the LCM of Fractions 29/738,699/903,121/411 is 817597
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 738,903,411 . The biggest common factor number is the GCF number.
So the greatest common factor 738,903,411 is 3.
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 29/738, 699/903, 121/411?
Answer: LCM of Numerators as per given numbers 29/738, 699/903, 121/411 is
LCM of Numerators i.e. for 29,699,121 is 2452791
GCF of denominators i.e. for 738,903,411 is 3.
Thus, LCM of Fractions is 817597.Finally, LCM of Fractions for 29/738, 699/903, 121/411 is 817597.