Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 243/32, 547/25, 289/522 quickly i.e. 38414169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 243/32, 547/25, 289/522 is 38414169.
LCM(243/32, 547/25, 289/522) = 38414169
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 243/32,547/25,289/522
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 243,547,289
Least Common Multiple of Numerators i.e. LCM of 243,547,289 is 38414169.
GCF of Denominators means GCF of 32,25,522 as per the given fractions.
GCF of 32,25,522 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 243,547,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 38414169
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 243,547,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,547,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,547,289) x common factors =1 x 1 = 1
LCM(243,547,289) = ( 243 × 547 × 289 ) / 1
LCM(243,547,289) = 38414169 / 1
LCM(243,547,289) = 38414169
Lets's calculate GCF of 32,25,522
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38414169/1
Therefore the LCM of Fractions 243/32,547/25,289/522 is 38414169
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 32,25,522 . The biggest common factor number is the GCF number.
So the greatest common factor 32,25,522 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 243/32, 547/25, 289/522?
Answer: LCM of Numerators as per given numbers 243/32, 547/25, 289/522 is
LCM of Numerators i.e. for 243,547,289 is 38414169
GCF of denominators i.e. for 32,25,522 is 1.
Thus, LCM of Fractions is 38414169.Finally, LCM of Fractions for 243/32, 547/25, 289/522 is 38414169.