Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/561, 585/347, 979/524 quickly i.e. 17754165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/561, 585/347, 979/524 is 17754165.
LCM(93/561, 585/347, 979/524) = 17754165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/561,585/347,979/524
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 93,585,979
Least Common Multiple of Numerators i.e. LCM of 93,585,979 is 17754165.
GCF of Denominators means GCF of 561,347,524 as per the given fractions.
GCF of 561,347,524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,585,979
3 | 93, 585, 979 |
31, 195, 979 |
∴ So the LCM of the given numbers is 3 x 31 x 195 x 979 = 17754165
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 93,585,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,585,979) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,585,979) x common factors =1 x 3 = 3
LCM(93,585,979) = ( 93 × 585 × 979 ) / 3
LCM(93,585,979) = 53262495 / 3
LCM(93,585,979) = 17754165
Lets's calculate GCF of 561,347,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17754165/1
Therefore the LCM of Fractions 93/561,585/347,979/524 is 17754165
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 561,347,524 . The biggest common factor number is the GCF number.
So the greatest common factor 561,347,524 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 93/561, 585/347, 979/524?
Answer: LCM of Numerators as per given numbers 93/561, 585/347, 979/524 is
LCM of Numerators i.e. for 93,585,979 is 17754165
GCF of denominators i.e. for 561,347,524 is 1.
Thus, LCM of Fractions is 17754165.Finally, LCM of Fractions for 93/561, 585/347, 979/524 is 17754165.