Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/12, 141/30, 379/143 quickly i.e. 1656609 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/12, 141/30, 379/143 is 1656609.
LCM(31/12, 141/30, 379/143) = 1656609
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/12,141/30,379/143
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 31,141,379
Least Common Multiple of Numerators i.e. LCM of 31,141,379 is 1656609.
GCF of Denominators means GCF of 12,30,143 as per the given fractions.
GCF of 12,30,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,141,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 1656609
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 31,141,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,141,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,141,379) x common factors =1 x 1 = 1
LCM(31,141,379) = ( 31 × 141 × 379 ) / 1
LCM(31,141,379) = 1656609 / 1
LCM(31,141,379) = 1656609
Lets's calculate GCF of 12,30,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656609/1
Therefore the LCM of Fractions 31/12,141/30,379/143 is 1656609
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
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 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 12,30,143 . The biggest common factor number is the GCF number.
So the greatest common factor 12,30,143 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 31/12, 141/30, 379/143?
Answer: LCM of Numerators as per given numbers 31/12, 141/30, 379/143 is
LCM of Numerators i.e. for 31,141,379 is 1656609
GCF of denominators i.e. for 12,30,143 is 1.
Thus, LCM of Fractions is 1656609.Finally, LCM of Fractions for 31/12, 141/30, 379/143 is 1656609.