Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 363/676, 3514/652 quickly i.e. 1275582/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 363/676, 3514/652 is 1275582/4.
LCM(363/676, 3514/652) = 1275582/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 363/676,3514/652
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 363,3514
Least Common Multiple of Numerators i.e. LCM of 363,3514 is 1275582.
GCF of Denominators means GCF of 676,652 as per the given fractions.
GCF of 676,652 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 363,3514
Given numbers has no common factors except 1. So, there LCM is their product i.e 1275582
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 363,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,3514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,3514) x common factors =1 x 1 = 1
LCM(363,3514) = ( 363 × 3514 ) / 1
LCM(363,3514) = 1275582 / 1
LCM(363,3514) = 1275582
Lets's calculate GCF of 676,652
2 | 676, 652 |
2 | 338, 326 |
169, 163 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1275582/4
Therefore the LCM of Fractions 363/676,3514/652 is 1275582/4
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 676,652 . The biggest common factor number is the GCF number.
So the greatest common factor 676,652 is 4.
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 363/676, 3514/652?
Answer: LCM of Numerators as per given numbers 363/676, 3514/652 is
LCM of Numerators i.e. for 363,3514 is 1275582
GCF of denominators i.e. for 676,652 is 4.
Thus, LCM of Fractions is 1275582/4.Finally, LCM of Fractions for 363/676, 3514/652 is 1275582/4.