Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/667, 434/289, 479/194 quickly i.e. 18086082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/667, 434/289, 479/194 is 18086082.
LCM(174/667, 434/289, 479/194) = 18086082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/667,434/289,479/194
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 174,434,479
Least Common Multiple of Numerators i.e. LCM of 174,434,479 is 18086082.
GCF of Denominators means GCF of 667,289,194 as per the given fractions.
GCF of 667,289,194 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,434,479
2 | 174, 434, 479 |
87, 217, 479 |
∴ So the LCM of the given numbers is 2 x 87 x 217 x 479 = 18086082
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 174,434,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,434,479) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(174,434,479) x common factors =1 x 2 = 2
LCM(174,434,479) = ( 174 × 434 × 479 ) / 2
LCM(174,434,479) = 36172164 / 2
LCM(174,434,479) = 18086082
Lets's calculate GCF of 667,289,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18086082/1
Therefore the LCM of Fractions 174/667,434/289,479/194 is 18086082
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 667,289,194 . The biggest common factor number is the GCF number.
So the greatest common factor 667,289,194 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 174/667, 434/289, 479/194?
Answer: LCM of Numerators as per given numbers 174/667, 434/289, 479/194 is
LCM of Numerators i.e. for 174,434,479 is 18086082
GCF of denominators i.e. for 667,289,194 is 1.
Thus, LCM of Fractions is 18086082.Finally, LCM of Fractions for 174/667, 434/289, 479/194 is 18086082.