Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/554, 65/585, 357/461 quickly i.e. 533715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/554, 65/585, 357/461 is 533715.
LCM(23/554, 65/585, 357/461) = 533715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/554,65/585,357/461
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 23,65,357
Least Common Multiple of Numerators i.e. LCM of 23,65,357 is 533715.
GCF of Denominators means GCF of 554,585,461 as per the given fractions.
GCF of 554,585,461 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,65,357
Given numbers has no common factors except 1. So, there LCM is their product i.e 533715
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 23,65,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,65,357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,65,357) x common factors =1 x 1 = 1
LCM(23,65,357) = ( 23 × 65 × 357 ) / 1
LCM(23,65,357) = 533715 / 1
LCM(23,65,357) = 533715
Lets's calculate GCF of 554,585,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 533715/1
Therefore the LCM of Fractions 23/554,65/585,357/461 is 533715
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Greatest Common Factor
We found the factors 554,585,461 . The biggest common factor number is the GCF number.
So the greatest common factor 554,585,461 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 23/554, 65/585, 357/461?
Answer: LCM of Numerators as per given numbers 23/554, 65/585, 357/461 is
LCM of Numerators i.e. for 23,65,357 is 533715
GCF of denominators i.e. for 554,585,461 is 1.
Thus, LCM of Fractions is 533715.Finally, LCM of Fractions for 23/554, 65/585, 357/461 is 533715.