Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/312, 283/779, 766/885 quickly i.e. 6720118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/312, 283/779, 766/885 is 6720118.
LCM(31/312, 283/779, 766/885) = 6720118
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/312,283/779,766/885
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 31,283,766
Least Common Multiple of Numerators i.e. LCM of 31,283,766 is 6720118.
GCF of Denominators means GCF of 312,779,885 as per the given fractions.
GCF of 312,779,885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,283,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 6720118
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 31,283,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,283,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,283,766) x common factors =1 x 1 = 1
LCM(31,283,766) = ( 31 × 283 × 766 ) / 1
LCM(31,283,766) = 6720118 / 1
LCM(31,283,766) = 6720118
Lets's calculate GCF of 312,779,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720118/1
Therefore the LCM of Fractions 31/312,283/779,766/885 is 6720118
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 312,779,885 . The biggest common factor number is the GCF number.
So the greatest common factor 312,779,885 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 31/312, 283/779, 766/885?
Answer: LCM of Numerators as per given numbers 31/312, 283/779, 766/885 is
LCM of Numerators i.e. for 31,283,766 is 6720118
GCF of denominators i.e. for 312,779,885 is 1.
Thus, LCM of Fractions is 6720118.Finally, LCM of Fractions for 31/312, 283/779, 766/885 is 6720118.