Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 869/286, 128/475 quickly i.e. 111232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 869/286, 128/475 is 111232.
LCM(869/286, 128/475) = 111232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 869/286,128/475
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 869,128
Least Common Multiple of Numerators i.e. LCM of 869,128 is 111232.
GCF of Denominators means GCF of 286,475 as per the given fractions.
GCF of 286,475 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 869,128
Given numbers has no common factors except 1. So, there LCM is their product i.e 111232
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 869,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,128) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,128) x common factors =1 x 1 = 1
LCM(869,128) = ( 869 × 128 ) / 1
LCM(869,128) = 111232 / 1
LCM(869,128) = 111232
Lets's calculate GCF of 286,475
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111232/1
Therefore the LCM of Fractions 869/286,128/475 is 111232
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Greatest Common Factor
We found the factors 286,475 . The biggest common factor number is the GCF number.
So the greatest common factor 286,475 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 869/286, 128/475?
Answer: LCM of Numerators as per given numbers 869/286, 128/475 is
LCM of Numerators i.e. for 869,128 is 111232
GCF of denominators i.e. for 286,475 is 1.
Thus, LCM of Fractions is 111232.Finally, LCM of Fractions for 869/286, 128/475 is 111232.