Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/30, 41/57, 123/723 quickly i.e. 410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/30, 41/57, 123/723 is 410.
LCM(10/30, 41/57, 123/723) = 410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/30,41/57,123/723
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 10,41,123
Least Common Multiple of Numerators i.e. LCM of 10,41,123 is 1230.
GCF of Denominators means GCF of 30,57,723 as per the given fractions.
GCF of 30,57,723 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,41,123
41 | 10, 41, 123 |
10, 1, 3 |
∴ So the LCM of the given numbers is 41 x 10 x 1 x 3 = 1230
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 10,41,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,41,123) = 1
common factors(in case of two or more numbers have common factors) = 41
GCF(10,41,123) x common factors =1 x 41 = 41
LCM(10,41,123) = ( 10 × 41 × 123 ) / 41
LCM(10,41,123) = 50430 / 41
LCM(10,41,123) = 1230
Lets's calculate GCF of 30,57,723
3 | 30, 57, 723 |
10, 19, 241 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230/3
Therefore the LCM of Fractions 10/30,41/57,123/723 is 410
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 30,57,723 . The biggest common factor number is the GCF number.
So the greatest common factor 30,57,723 is 3.
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 10/30, 41/57, 123/723?
Answer: LCM of Numerators as per given numbers 10/30, 41/57, 123/723 is
LCM of Numerators i.e. for 10,41,123 is 1230
GCF of denominators i.e. for 30,57,723 is 3.
Thus, LCM of Fractions is 410.Finally, LCM of Fractions for 10/30, 41/57, 123/723 is 410.