Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 203/10, 193/29, 151/956 quickly i.e. 5916029 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 203/10, 193/29, 151/956 is 5916029.
LCM(203/10, 193/29, 151/956) = 5916029
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 203/10,193/29,151/956
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 203,193,151
Least Common Multiple of Numerators i.e. LCM of 203,193,151 is 5916029.
GCF of Denominators means GCF of 10,29,956 as per the given fractions.
GCF of 10,29,956 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 203,193,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 5916029
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 203,193,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,193,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,193,151) x common factors =1 x 1 = 1
LCM(203,193,151) = ( 203 × 193 × 151 ) / 1
LCM(203,193,151) = 5916029 / 1
LCM(203,193,151) = 5916029
Lets's calculate GCF of 10,29,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5916029/1
Therefore the LCM of Fractions 203/10,193/29,151/956 is 5916029
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 10,29,956 . The biggest common factor number is the GCF number.
So the greatest common factor 10,29,956 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 203/10, 193/29, 151/956?
Answer: LCM of Numerators as per given numbers 203/10, 193/29, 151/956 is
LCM of Numerators i.e. for 203,193,151 is 5916029
GCF of denominators i.e. for 10,29,956 is 1.
Thus, LCM of Fractions is 5916029.Finally, LCM of Fractions for 203/10, 193/29, 151/956 is 5916029.