Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 739/451, 903/937, 326/459 quickly i.e. 217545342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 739/451, 903/937, 326/459 is 217545342.
LCM(739/451, 903/937, 326/459) = 217545342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 739/451,903/937,326/459
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 739,903,326
Least Common Multiple of Numerators i.e. LCM of 739,903,326 is 217545342.
GCF of Denominators means GCF of 451,937,459 as per the given fractions.
GCF of 451,937,459 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 739,903,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 217545342
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 739,903,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,903,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,903,326) x common factors =1 x 1 = 1
LCM(739,903,326) = ( 739 × 903 × 326 ) / 1
LCM(739,903,326) = 217545342 / 1
LCM(739,903,326) = 217545342
Lets's calculate GCF of 451,937,459
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217545342/1
Therefore the LCM of Fractions 739/451,903/937,326/459 is 217545342
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 451,937,459 . The biggest common factor number is the GCF number.
So the greatest common factor 451,937,459 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 739/451, 903/937, 326/459?
Answer: LCM of Numerators as per given numbers 739/451, 903/937, 326/459 is
LCM of Numerators i.e. for 739,903,326 is 217545342
GCF of denominators i.e. for 451,937,459 is 1.
Thus, LCM of Fractions is 217545342.Finally, LCM of Fractions for 739/451, 903/937, 326/459 is 217545342.