Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/737, 747/300, 159/690 quickly i.e. 158364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/737, 747/300, 159/690 is 158364.
LCM(12/737, 747/300, 159/690) = 158364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/737,747/300,159/690
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 12,747,159
Least Common Multiple of Numerators i.e. LCM of 12,747,159 is 158364.
GCF of Denominators means GCF of 737,300,690 as per the given fractions.
GCF of 737,300,690 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,747,159
3 | 12, 747, 159 |
4, 249, 53 |
∴ So the LCM of the given numbers is 3 x 4 x 249 x 53 = 158364
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 12,747,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,747,159) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(12,747,159) x common factors =3 x 3 = 9
LCM(12,747,159) = ( 12 × 747 × 159 ) / 9
LCM(12,747,159) = 1425276 / 9
LCM(12,747,159) = 158364
Lets's calculate GCF of 737,300,690
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158364/1
Therefore the LCM of Fractions 12/737,747/300,159/690 is 158364
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 737,300,690 . The biggest common factor number is the GCF number.
So the greatest common factor 737,300,690 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 12/737, 747/300, 159/690?
Answer: LCM of Numerators as per given numbers 12/737, 747/300, 159/690 is
LCM of Numerators i.e. for 12,747,159 is 158364
GCF of denominators i.e. for 737,300,690 is 1.
Thus, LCM of Fractions is 158364.Finally, LCM of Fractions for 12/737, 747/300, 159/690 is 158364.