Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/138, 43/767, 901/391 quickly i.e. 1201033 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/138, 43/767, 901/391 is 1201033.
LCM(31/138, 43/767, 901/391) = 1201033
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/138,43/767,901/391
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 31,43,901
Least Common Multiple of Numerators i.e. LCM of 31,43,901 is 1201033.
GCF of Denominators means GCF of 138,767,391 as per the given fractions.
GCF of 138,767,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,43,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 1201033
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 31,43,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,43,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,43,901) x common factors =1 x 1 = 1
LCM(31,43,901) = ( 31 × 43 × 901 ) / 1
LCM(31,43,901) = 1201033 / 1
LCM(31,43,901) = 1201033
Lets's calculate GCF of 138,767,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201033/1
Therefore the LCM of Fractions 31/138,43/767,901/391 is 1201033
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 138,767,391 . The biggest common factor number is the GCF number.
So the greatest common factor 138,767,391 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 31/138, 43/767, 901/391?
Answer: LCM of Numerators as per given numbers 31/138, 43/767, 901/391 is
LCM of Numerators i.e. for 31,43,901 is 1201033
GCF of denominators i.e. for 138,767,391 is 1.
Thus, LCM of Fractions is 1201033.Finally, LCM of Fractions for 31/138, 43/767, 901/391 is 1201033.