Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 326/478, 3771/3810 quickly i.e. 614673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 326/478, 3771/3810 is 614673.
LCM(326/478, 3771/3810) = 614673
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 326/478,3771/3810
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 326,3771
Least Common Multiple of Numerators i.e. LCM of 326,3771 is 1229346.
GCF of Denominators means GCF of 478,3810 as per the given fractions.
GCF of 478,3810 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 326,3771
Given numbers has no common factors except 1. So, there LCM is their product i.e 1229346
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 326,3771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,3771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,3771) x common factors =1 x 1 = 1
LCM(326,3771) = ( 326 × 3771 ) / 1
LCM(326,3771) = 1229346 / 1
LCM(326,3771) = 1229346
Lets's calculate GCF of 478,3810
2 | 478, 3810 |
239, 1905 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1229346/2
Therefore the LCM of Fractions 326/478,3771/3810 is 614673
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 3810
List of positive integer factors of 3810 that divides 3810 without a remainder.
1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 478,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 478,3810 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 326/478, 3771/3810?
Answer: LCM of Numerators as per given numbers 326/478, 3771/3810 is
LCM of Numerators i.e. for 326,3771 is 1229346
GCF of denominators i.e. for 478,3810 is 2.
Thus, LCM of Fractions is 614673.Finally, LCM of Fractions for 326/478, 3771/3810 is 614673.