Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 919/18, 409/4473 quickly i.e. 375871/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 919/18, 409/4473 is 375871/9.
LCM(919/18, 409/4473) = 375871/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 919/18,409/4473
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 919,409
Least Common Multiple of Numerators i.e. LCM of 919,409 is 375871.
GCF of Denominators means GCF of 18,4473 as per the given fractions.
GCF of 18,4473 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 919,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 375871
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 919,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,409) x common factors =1 x 1 = 1
LCM(919,409) = ( 919 × 409 ) / 1
LCM(919,409) = 375871 / 1
LCM(919,409) = 375871
Lets's calculate GCF of 18,4473
3 | 18, 4473 |
3 | 6, 1491 |
2, 497 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375871/9
Therefore the LCM of Fractions 919/18,409/4473 is 375871/9
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 4473
List of positive integer factors of 4473 that divides 4473 without a remainder.
1,3,7,9,21,63,71,213,497,639,1491,4473
Greatest Common Factor
We found the factors 18,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 18,4473 is 9.
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 919/18, 409/4473?
Answer: LCM of Numerators as per given numbers 919/18, 409/4473 is
LCM of Numerators i.e. for 919,409 is 375871
GCF of denominators i.e. for 18,4473 is 9.
Thus, LCM of Fractions is 375871/9.Finally, LCM of Fractions for 919/18, 409/4473 is 375871/9.