Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/799, 13/346, 715/766 quickly i.e. 22165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/799, 13/346, 715/766 is 22165.
LCM(31/799, 13/346, 715/766) = 22165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/799,13/346,715/766
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 31,13,715
Least Common Multiple of Numerators i.e. LCM of 31,13,715 is 22165.
GCF of Denominators means GCF of 799,346,766 as per the given fractions.
GCF of 799,346,766 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,13,715
13 | 31, 13, 715 |
31, 1, 55 |
∴ So the LCM of the given numbers is 13 x 31 x 1 x 55 = 22165
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 31,13,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,13,715) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(31,13,715) x common factors =1 x 13 = 13
LCM(31,13,715) = ( 31 × 13 × 715 ) / 13
LCM(31,13,715) = 288145 / 13
LCM(31,13,715) = 22165
Lets's calculate GCF of 799,346,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22165/1
Therefore the LCM of Fractions 31/799,13/346,715/766 is 22165
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Greatest Common Factor
We found the factors 799,346,766 . The biggest common factor number is the GCF number.
So the greatest common factor 799,346,766 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 31/799, 13/346, 715/766?
Answer: LCM of Numerators as per given numbers 31/799, 13/346, 715/766 is
LCM of Numerators i.e. for 31,13,715 is 22165
GCF of denominators i.e. for 799,346,766 is 1.
Thus, LCM of Fractions is 22165.Finally, LCM of Fractions for 31/799, 13/346, 715/766 is 22165.