Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/375, 17/475, 226/481 quickly i.e. 288150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/375, 17/475, 226/481 is 288150.
LCM(75/375, 17/475, 226/481) = 288150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/375,17/475,226/481
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 75,17,226
Least Common Multiple of Numerators i.e. LCM of 75,17,226 is 288150.
GCF of Denominators means GCF of 375,475,481 as per the given fractions.
GCF of 375,475,481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,17,226
Given numbers has no common factors except 1. So, there LCM is their product i.e 288150
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 75,17,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,17,226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,17,226) x common factors =1 x 1 = 1
LCM(75,17,226) = ( 75 × 17 × 226 ) / 1
LCM(75,17,226) = 288150 / 1
LCM(75,17,226) = 288150
Lets's calculate GCF of 375,475,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288150/1
Therefore the LCM of Fractions 75/375,17/475,226/481 is 288150
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 375,475,481 . The biggest common factor number is the GCF number.
So the greatest common factor 375,475,481 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 75/375, 17/475, 226/481?
Answer: LCM of Numerators as per given numbers 75/375, 17/475, 226/481 is
LCM of Numerators i.e. for 75,17,226 is 288150
GCF of denominators i.e. for 375,475,481 is 1.
Thus, LCM of Fractions is 288150.Finally, LCM of Fractions for 75/375, 17/475, 226/481 is 288150.