Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2620/395, 1308/8826 quickly i.e. 856740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2620/395, 1308/8826 is 856740.
LCM(2620/395, 1308/8826) = 856740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2620/395,1308/8826
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 2620,1308
Least Common Multiple of Numerators i.e. LCM of 2620,1308 is 856740.
GCF of Denominators means GCF of 395,8826 as per the given fractions.
GCF of 395,8826 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2620,1308
2 | 2620, 1308 |
2 | 1310, 654 |
655, 327 |
∴ So the LCM of the given numbers is 2 x 2 x 655 x 327 = 856740
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 2620,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2620,1308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2620,1308) x common factors =4 x 1 = 4
LCM(2620,1308) = ( 2620 × 1308 ) / 4
LCM(2620,1308) = 3426960 / 4
LCM(2620,1308) = 856740
Lets's calculate GCF of 395,8826
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 856740/1
Therefore the LCM of Fractions 2620/395,1308/8826 is 856740
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 8826
List of positive integer factors of 8826 that divides 8826 without a remainder.
1,2,3,6,1471,2942,4413,8826
Greatest Common Factor
We found the factors 395,8826 . The biggest common factor number is the GCF number.
So the greatest common factor 395,8826 is 1.
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 2620/395, 1308/8826?
Answer: LCM of Numerators as per given numbers 2620/395, 1308/8826 is
LCM of Numerators i.e. for 2620,1308 is 856740
GCF of denominators i.e. for 395,8826 is 1.
Thus, LCM of Fractions is 856740.Finally, LCM of Fractions for 2620/395, 1308/8826 is 856740.