Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/300, 91/409, 160/628 quickly i.e. 14560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/300, 91/409, 160/628 is 14560.
LCM(13/300, 91/409, 160/628) = 14560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/300,91/409,160/628
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 13,91,160
Least Common Multiple of Numerators i.e. LCM of 13,91,160 is 14560.
GCF of Denominators means GCF of 300,409,628 as per the given fractions.
GCF of 300,409,628 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,91,160
13 | 13, 91, 160 |
1, 7, 160 |
∴ So the LCM of the given numbers is 13 x 1 x 7 x 160 = 14560
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 13,91,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,91,160) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,91,160) x common factors =1 x 13 = 13
LCM(13,91,160) = ( 13 × 91 × 160 ) / 13
LCM(13,91,160) = 189280 / 13
LCM(13,91,160) = 14560
Lets's calculate GCF of 300,409,628
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14560/1
Therefore the LCM of Fractions 13/300,91/409,160/628 is 14560
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 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 300,409,628 . The biggest common factor number is the GCF number.
So the greatest common factor 300,409,628 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 13/300, 91/409, 160/628?
Answer: LCM of Numerators as per given numbers 13/300, 91/409, 160/628 is
LCM of Numerators i.e. for 13,91,160 is 14560
GCF of denominators i.e. for 300,409,628 is 1.
Thus, LCM of Fractions is 14560.Finally, LCM of Fractions for 13/300, 91/409, 160/628 is 14560.