Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/46, 758/80, 162/725 quickly i.e. 17989614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/46, 758/80, 162/725 is 17989614.
LCM(293/46, 758/80, 162/725) = 17989614
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/46,758/80,162/725
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 293,758,162
Least Common Multiple of Numerators i.e. LCM of 293,758,162 is 17989614.
GCF of Denominators means GCF of 46,80,725 as per the given fractions.
GCF of 46,80,725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,758,162
2 | 293, 758, 162 |
293, 379, 81 |
∴ So the LCM of the given numbers is 2 x 293 x 379 x 81 = 17989614
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 293,758,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,758,162) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(293,758,162) x common factors =1 x 2 = 2
LCM(293,758,162) = ( 293 × 758 × 162 ) / 2
LCM(293,758,162) = 35979228 / 2
LCM(293,758,162) = 17989614
Lets's calculate GCF of 46,80,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17989614/1
Therefore the LCM of Fractions 293/46,758/80,162/725 is 17989614
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 46,80,725 . The biggest common factor number is the GCF number.
So the greatest common factor 46,80,725 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 293/46, 758/80, 162/725?
Answer: LCM of Numerators as per given numbers 293/46, 758/80, 162/725 is
LCM of Numerators i.e. for 293,758,162 is 17989614
GCF of denominators i.e. for 46,80,725 is 1.
Thus, LCM of Fractions is 17989614.Finally, LCM of Fractions for 293/46, 758/80, 162/725 is 17989614.