Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/932, 3859/6206 quickly i.e. 61744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/932, 3859/6206 is 61744.
LCM(32/932, 3859/6206) = 61744
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/932,3859/6206
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 32,3859
Least Common Multiple of Numerators i.e. LCM of 32,3859 is 123488.
GCF of Denominators means GCF of 932,6206 as per the given fractions.
GCF of 932,6206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,3859
Given numbers has no common factors except 1. So, there LCM is their product i.e 123488
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 32,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,3859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,3859) x common factors =1 x 1 = 1
LCM(32,3859) = ( 32 × 3859 ) / 1
LCM(32,3859) = 123488 / 1
LCM(32,3859) = 123488
Lets's calculate GCF of 932,6206
2 | 932, 6206 |
466, 3103 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123488/2
Therefore the LCM of Fractions 32/932,3859/6206 is 61744
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 932,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 932,6206 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 32/932, 3859/6206?
Answer: LCM of Numerators as per given numbers 32/932, 3859/6206 is
LCM of Numerators i.e. for 32,3859 is 123488
GCF of denominators i.e. for 932,6206 is 2.
Thus, LCM of Fractions is 61744.Finally, LCM of Fractions for 32/932, 3859/6206 is 61744.