Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 638/676, 2587/377 quickly i.e. 126962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 638/676, 2587/377 is 126962.
LCM(638/676, 2587/377) = 126962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 638/676,2587/377
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 638,2587
Least Common Multiple of Numerators i.e. LCM of 638,2587 is 1650506.
GCF of Denominators means GCF of 676,377 as per the given fractions.
GCF of 676,377 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 638,2587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1650506
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 638,2587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,2587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,2587) x common factors =1 x 1 = 1
LCM(638,2587) = ( 638 × 2587 ) / 1
LCM(638,2587) = 1650506 / 1
LCM(638,2587) = 1650506
Lets's calculate GCF of 676,377
13 | 676, 377 |
52, 29 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1650506/13
Therefore the LCM of Fractions 638/676,2587/377 is 126962
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 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 676,377 . The biggest common factor number is the GCF number.
So the greatest common factor 676,377 is 13.
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 638/676, 2587/377?
Answer: LCM of Numerators as per given numbers 638/676, 2587/377 is
LCM of Numerators i.e. for 638,2587 is 1650506
GCF of denominators i.e. for 676,377 is 13.
Thus, LCM of Fractions is 126962.Finally, LCM of Fractions for 638/676, 2587/377 is 126962.