Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 739/18, 545/5004 quickly i.e. 402755/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 739/18, 545/5004 is 402755/18.
LCM(739/18, 545/5004) = 402755/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 739/18,545/5004
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 739,545
Least Common Multiple of Numerators i.e. LCM of 739,545 is 402755.
GCF of Denominators means GCF of 18,5004 as per the given fractions.
GCF of 18,5004 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 739,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 402755
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 739,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,545) x common factors =1 x 1 = 1
LCM(739,545) = ( 739 × 545 ) / 1
LCM(739,545) = 402755 / 1
LCM(739,545) = 402755
Lets's calculate GCF of 18,5004
2 | 18, 5004 |
3 | 9, 2502 |
3 | 3, 834 |
1, 278 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402755/18
Therefore the LCM of Fractions 739/18,545/5004 is 402755/18
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 5004
List of positive integer factors of 5004 that divides 5004 without a remainder.
1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004
Greatest Common Factor
We found the factors 18,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5004 is 18.
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 739/18, 545/5004?
Answer: LCM of Numerators as per given numbers 739/18, 545/5004 is
LCM of Numerators i.e. for 739,545 is 402755
GCF of denominators i.e. for 18,5004 is 18.
Thus, LCM of Fractions is 402755/18.Finally, LCM of Fractions for 739/18, 545/5004 is 402755/18.