Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/523, 120/471, 445/303 quickly i.e. 5884680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/523, 120/471, 445/303 is 5884680.
LCM(551/523, 120/471, 445/303) = 5884680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/523,120/471,445/303
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 551,120,445
Least Common Multiple of Numerators i.e. LCM of 551,120,445 is 5884680.
GCF of Denominators means GCF of 523,471,303 as per the given fractions.
GCF of 523,471,303 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,120,445
5 | 551, 120, 445 |
551, 24, 89 |
∴ So the LCM of the given numbers is 5 x 551 x 24 x 89 = 5884680
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 551,120,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,120,445) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(551,120,445) x common factors =1 x 5 = 5
LCM(551,120,445) = ( 551 × 120 × 445 ) / 5
LCM(551,120,445) = 29423400 / 5
LCM(551,120,445) = 5884680
Lets's calculate GCF of 523,471,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5884680/1
Therefore the LCM of Fractions 551/523,120/471,445/303 is 5884680
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 523,471,303 . The biggest common factor number is the GCF number.
So the greatest common factor 523,471,303 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 551/523, 120/471, 445/303?
Answer: LCM of Numerators as per given numbers 551/523, 120/471, 445/303 is
LCM of Numerators i.e. for 551,120,445 is 5884680
GCF of denominators i.e. for 523,471,303 is 1.
Thus, LCM of Fractions is 5884680.Finally, LCM of Fractions for 551/523, 120/471, 445/303 is 5884680.