Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 451/789, 504/113, 154/204 quickly i.e. 227304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 451/789, 504/113, 154/204 is 227304.
LCM(451/789, 504/113, 154/204) = 227304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 451/789,504/113,154/204
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 451,504,154
Least Common Multiple of Numerators i.e. LCM of 451,504,154 is 227304.
GCF of Denominators means GCF of 789,113,204 as per the given fractions.
GCF of 789,113,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 451,504,154
2 | 451, 504, 154 |
7 | 451, 252, 77 |
11 | 451, 36, 11 |
41, 36, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 41 x 36 x 1 = 227304
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 451,504,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,504,154) = 1
common factors(in case of two or more numbers have common factors) = 154
GCF(451,504,154) x common factors =1 x 154 = 154
LCM(451,504,154) = ( 451 × 504 × 154 ) / 154
LCM(451,504,154) = 35004816 / 154
LCM(451,504,154) = 227304
Lets's calculate GCF of 789,113,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227304/1
Therefore the LCM of Fractions 451/789,504/113,154/204 is 227304
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 789,113,204 . The biggest common factor number is the GCF number.
So the greatest common factor 789,113,204 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 451/789, 504/113, 154/204?
Answer: LCM of Numerators as per given numbers 451/789, 504/113, 154/204 is
LCM of Numerators i.e. for 451,504,154 is 227304
GCF of denominators i.e. for 789,113,204 is 1.
Thus, LCM of Fractions is 227304.Finally, LCM of Fractions for 451/789, 504/113, 154/204 is 227304.