Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/581, 7347/4473 quickly i.e. 168981/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/581, 7347/4473 is 168981/7.
LCM(69/581, 7347/4473) = 168981/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/581,7347/4473
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 69,7347
Least Common Multiple of Numerators i.e. LCM of 69,7347 is 168981.
GCF of Denominators means GCF of 581,4473 as per the given fractions.
GCF of 581,4473 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,7347
3 | 69, 7347 |
23, 2449 |
∴ So the LCM of the given numbers is 3 x 23 x 2449 = 168981
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 69,7347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,7347) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(69,7347) x common factors =3 x 1 = 3
LCM(69,7347) = ( 69 × 7347 ) / 3
LCM(69,7347) = 506943 / 3
LCM(69,7347) = 168981
Lets's calculate GCF of 581,4473
7 | 581, 4473 |
83, 639 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168981/7
Therefore the LCM of Fractions 69/581,7347/4473 is 168981/7
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
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 581,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 581,4473 is 7.
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 69/581, 7347/4473?
Answer: LCM of Numerators as per given numbers 69/581, 7347/4473 is
LCM of Numerators i.e. for 69,7347 is 168981
GCF of denominators i.e. for 581,4473 is 7.
Thus, LCM of Fractions is 168981/7.Finally, LCM of Fractions for 69/581, 7347/4473 is 168981/7.