Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/608, 547/480, 119/887 quickly i.e. 976395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/608, 547/480, 119/887 is 976395.
LCM(15/608, 547/480, 119/887) = 976395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/608,547/480,119/887
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 15,547,119
Least Common Multiple of Numerators i.e. LCM of 15,547,119 is 976395.
GCF of Denominators means GCF of 608,480,887 as per the given fractions.
GCF of 608,480,887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,547,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 976395
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 15,547,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,547,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,547,119) x common factors =1 x 1 = 1
LCM(15,547,119) = ( 15 × 547 × 119 ) / 1
LCM(15,547,119) = 976395 / 1
LCM(15,547,119) = 976395
Lets's calculate GCF of 608,480,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 976395/1
Therefore the LCM of Fractions 15/608,547/480,119/887 is 976395
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 608,480,887 . The biggest common factor number is the GCF number.
So the greatest common factor 608,480,887 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 15/608, 547/480, 119/887?
Answer: LCM of Numerators as per given numbers 15/608, 547/480, 119/887 is
LCM of Numerators i.e. for 15,547,119 is 976395
GCF of denominators i.e. for 608,480,887 is 1.
Thus, LCM of Fractions is 976395.Finally, LCM of Fractions for 15/608, 547/480, 119/887 is 976395.