Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/362, 9764/3790 quickly i.e. 151342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/362, 9764/3790 is 151342.
LCM(31/362, 9764/3790) = 151342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/362,9764/3790
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 31,9764
Least Common Multiple of Numerators i.e. LCM of 31,9764 is 302684.
GCF of Denominators means GCF of 362,3790 as per the given fractions.
GCF of 362,3790 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,9764
Given numbers has no common factors except 1. So, there LCM is their product i.e 302684
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 31,9764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,9764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,9764) x common factors =1 x 1 = 1
LCM(31,9764) = ( 31 × 9764 ) / 1
LCM(31,9764) = 302684 / 1
LCM(31,9764) = 302684
Lets's calculate GCF of 362,3790
2 | 362, 3790 |
181, 1895 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302684/2
Therefore the LCM of Fractions 31/362,9764/3790 is 151342
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 3790
List of positive integer factors of 3790 that divides 3790 without a remainder.
1,2,5,10,379,758,1895,3790
Greatest Common Factor
We found the factors 362,3790 . The biggest common factor number is the GCF number.
So the greatest common factor 362,3790 is 2.
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 31/362, 9764/3790?
Answer: LCM of Numerators as per given numbers 31/362, 9764/3790 is
LCM of Numerators i.e. for 31,9764 is 302684
GCF of denominators i.e. for 362,3790 is 2.
Thus, LCM of Fractions is 151342.Finally, LCM of Fractions for 31/362, 9764/3790 is 151342.