Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7771/782, 3326/4008 quickly i.e. 12923173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7771/782, 3326/4008 is 12923173.
LCM(7771/782, 3326/4008) = 12923173
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7771/782,3326/4008
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 7771,3326
Least Common Multiple of Numerators i.e. LCM of 7771,3326 is 25846346.
GCF of Denominators means GCF of 782,4008 as per the given fractions.
GCF of 782,4008 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7771,3326
Given numbers has no common factors except 1. So, there LCM is their product i.e 25846346
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 7771,3326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7771,3326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7771,3326) x common factors =1 x 1 = 1
LCM(7771,3326) = ( 7771 × 3326 ) / 1
LCM(7771,3326) = 25846346 / 1
LCM(7771,3326) = 25846346
Lets's calculate GCF of 782,4008
2 | 782, 4008 |
391, 2004 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25846346/2
Therefore the LCM of Fractions 7771/782,3326/4008 is 12923173
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 4008
List of positive integer factors of 4008 that divides 4008 without a remainder.
1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008
Greatest Common Factor
We found the factors 782,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 782,4008 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 7771/782, 3326/4008?
Answer: LCM of Numerators as per given numbers 7771/782, 3326/4008 is
LCM of Numerators i.e. for 7771,3326 is 25846346
GCF of denominators i.e. for 782,4008 is 2.
Thus, LCM of Fractions is 12923173.Finally, LCM of Fractions for 7771/782, 3326/4008 is 12923173.