Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 808/255, 1150/1972 quickly i.e. 464600/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 808/255, 1150/1972 is 464600/17.
LCM(808/255, 1150/1972) = 464600/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 808/255,1150/1972
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 808,1150
Least Common Multiple of Numerators i.e. LCM of 808,1150 is 464600.
GCF of Denominators means GCF of 255,1972 as per the given fractions.
GCF of 255,1972 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 808,1150
2 | 808, 1150 |
404, 575 |
∴ So the LCM of the given numbers is 2 x 404 x 575 = 464600
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 808,1150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,1150) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(808,1150) x common factors =2 x 1 = 2
LCM(808,1150) = ( 808 × 1150 ) / 2
LCM(808,1150) = 929200 / 2
LCM(808,1150) = 464600
Lets's calculate GCF of 255,1972
17 | 255, 1972 |
15, 116 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464600/17
Therefore the LCM of Fractions 808/255,1150/1972 is 464600/17
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 1972
List of positive integer factors of 1972 that divides 1972 without a remainder.
1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 255,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 255,1972 is 17.
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 808/255, 1150/1972?
Answer: LCM of Numerators as per given numbers 808/255, 1150/1972 is
LCM of Numerators i.e. for 808,1150 is 464600
GCF of denominators i.e. for 255,1972 is 17.
Thus, LCM of Fractions is 464600/17.Finally, LCM of Fractions for 808/255, 1150/1972 is 464600/17.