Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3988/782, 1697/6932 quickly i.e. 3383818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3988/782, 1697/6932 is 3383818.
LCM(3988/782, 1697/6932) = 3383818
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3988/782,1697/6932
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 3988,1697
Least Common Multiple of Numerators i.e. LCM of 3988,1697 is 6767636.
GCF of Denominators means GCF of 782,6932 as per the given fractions.
GCF of 782,6932 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3988,1697
Given numbers has no common factors except 1. So, there LCM is their product i.e 6767636
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 3988,1697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3988,1697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3988,1697) x common factors =1 x 1 = 1
LCM(3988,1697) = ( 3988 × 1697 ) / 1
LCM(3988,1697) = 6767636 / 1
LCM(3988,1697) = 6767636
Lets's calculate GCF of 782,6932
2 | 782, 6932 |
391, 3466 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6767636/2
Therefore the LCM of Fractions 3988/782,1697/6932 is 3383818
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 6932
List of positive integer factors of 6932 that divides 6932 without a remainder.
1,2,4,1733,3466,6932
Greatest Common Factor
We found the factors 782,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 782,6932 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 3988/782, 1697/6932?
Answer: LCM of Numerators as per given numbers 3988/782, 1697/6932 is
LCM of Numerators i.e. for 3988,1697 is 6767636
GCF of denominators i.e. for 782,6932 is 2.
Thus, LCM of Fractions is 3383818.Finally, LCM of Fractions for 3988/782, 1697/6932 is 3383818.