Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/10, 978/45, 441/72 quickly i.e. 34647606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/10, 978/45, 441/72 is 34647606.
LCM(241/10, 978/45, 441/72) = 34647606
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/10,978/45,441/72
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 241,978,441
Least Common Multiple of Numerators i.e. LCM of 241,978,441 is 34647606.
GCF of Denominators means GCF of 10,45,72 as per the given fractions.
GCF of 10,45,72 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,978,441
3 | 241, 978, 441 |
241, 326, 147 |
∴ So the LCM of the given numbers is 3 x 241 x 326 x 147 = 34647606
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 241,978,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,978,441) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(241,978,441) x common factors =1 x 3 = 3
LCM(241,978,441) = ( 241 × 978 × 441 ) / 3
LCM(241,978,441) = 103942818 / 3
LCM(241,978,441) = 34647606
Lets's calculate GCF of 10,45,72
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34647606/1
Therefore the LCM of Fractions 241/10,978/45,441/72 is 34647606
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 10,45,72 . The biggest common factor number is the GCF number.
So the greatest common factor 10,45,72 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 241/10, 978/45, 441/72?
Answer: LCM of Numerators as per given numbers 241/10, 978/45, 441/72 is
LCM of Numerators i.e. for 241,978,441 is 34647606
GCF of denominators i.e. for 10,45,72 is 1.
Thus, LCM of Fractions is 34647606.Finally, LCM of Fractions for 241/10, 978/45, 441/72 is 34647606.