Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 480/408, 6766/5610 quickly i.e. 15920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 480/408, 6766/5610 is 15920.
LCM(480/408, 6766/5610) = 15920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 480/408,6766/5610
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 480,6766
Least Common Multiple of Numerators i.e. LCM of 480,6766 is 1623840.
GCF of Denominators means GCF of 408,5610 as per the given fractions.
GCF of 408,5610 is 102 as it is the largest common factor for these numbers.
Lets's calculate LCM of 480,6766
2 | 480, 6766 |
240, 3383 |
∴ So the LCM of the given numbers is 2 x 240 x 3383 = 1623840
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 480,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,6766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(480,6766) x common factors =2 x 1 = 2
LCM(480,6766) = ( 480 × 6766 ) / 2
LCM(480,6766) = 3247680 / 2
LCM(480,6766) = 1623840
Lets's calculate GCF of 408,5610
2 | 408, 5610 |
3 | 204, 2805 |
17 | 68, 935 |
4, 55 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1623840/102
Therefore the LCM of Fractions 480/408,6766/5610 is 15920
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 5610
List of positive integer factors of 5610 that divides 5610 without a remainder.
1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610
Greatest Common Factor
We found the factors 408,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 408,5610 is 102.
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 480/408, 6766/5610?
Answer: LCM of Numerators as per given numbers 480/408, 6766/5610 is
LCM of Numerators i.e. for 480,6766 is 1623840
GCF of denominators i.e. for 408,5610 is 102.
Thus, LCM of Fractions is 15920.Finally, LCM of Fractions for 480/408, 6766/5610 is 15920.