Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/405, 859/502, 754/626 quickly i.e. 14249092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/405, 859/502, 754/626 is 14249092.
LCM(44/405, 859/502, 754/626) = 14249092
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/405,859/502,754/626
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 44,859,754
Least Common Multiple of Numerators i.e. LCM of 44,859,754 is 14249092.
GCF of Denominators means GCF of 405,502,626 as per the given fractions.
GCF of 405,502,626 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,859,754
2 | 44, 859, 754 |
22, 859, 377 |
∴ So the LCM of the given numbers is 2 x 22 x 859 x 377 = 14249092
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 44,859,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,859,754) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,859,754) x common factors =1 x 2 = 2
LCM(44,859,754) = ( 44 × 859 × 754 ) / 2
LCM(44,859,754) = 28498184 / 2
LCM(44,859,754) = 14249092
Lets's calculate GCF of 405,502,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14249092/1
Therefore the LCM of Fractions 44/405,859/502,754/626 is 14249092
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 405,502,626 . The biggest common factor number is the GCF number.
So the greatest common factor 405,502,626 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 44/405, 859/502, 754/626?
Answer: LCM of Numerators as per given numbers 44/405, 859/502, 754/626 is
LCM of Numerators i.e. for 44,859,754 is 14249092
GCF of denominators i.e. for 405,502,626 is 1.
Thus, LCM of Fractions is 14249092.Finally, LCM of Fractions for 44/405, 859/502, 754/626 is 14249092.