Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3921/264, 3780/826 quickly i.e. 2470230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3921/264, 3780/826 is 2470230.
LCM(3921/264, 3780/826) = 2470230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3921/264,3780/826
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 3921,3780
Least Common Multiple of Numerators i.e. LCM of 3921,3780 is 4940460.
GCF of Denominators means GCF of 264,826 as per the given fractions.
GCF of 264,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3921,3780
3 | 3921, 3780 |
1307, 1260 |
∴ So the LCM of the given numbers is 3 x 1307 x 1260 = 4940460
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 3921,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3921,3780) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3921,3780) x common factors =3 x 1 = 3
LCM(3921,3780) = ( 3921 × 3780 ) / 3
LCM(3921,3780) = 14821380 / 3
LCM(3921,3780) = 4940460
Lets's calculate GCF of 264,826
2 | 264, 826 |
132, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4940460/2
Therefore the LCM of Fractions 3921/264,3780/826 is 2470230
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 264,826 . The biggest common factor number is the GCF number.
So the greatest common factor 264,826 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 3921/264, 3780/826?
Answer: LCM of Numerators as per given numbers 3921/264, 3780/826 is
LCM of Numerators i.e. for 3921,3780 is 4940460
GCF of denominators i.e. for 264,826 is 2.
Thus, LCM of Fractions is 2470230.Finally, LCM of Fractions for 3921/264, 3780/826 is 2470230.