Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8738/769, 8998/629 quickly i.e. 39312262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8738/769, 8998/629 is 39312262.
LCM(8738/769, 8998/629) = 39312262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8738/769,8998/629
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 8738,8998
Least Common Multiple of Numerators i.e. LCM of 8738,8998 is 39312262.
GCF of Denominators means GCF of 769,629 as per the given fractions.
GCF of 769,629 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8738,8998
2 | 8738, 8998 |
4369, 4499 |
∴ So the LCM of the given numbers is 2 x 4369 x 4499 = 39312262
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 8738,8998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8738,8998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8738,8998) x common factors =2 x 1 = 2
LCM(8738,8998) = ( 8738 × 8998 ) / 2
LCM(8738,8998) = 78624524 / 2
LCM(8738,8998) = 39312262
Lets's calculate GCF of 769,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39312262/1
Therefore the LCM of Fractions 8738/769,8998/629 is 39312262
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 769,629 . The biggest common factor number is the GCF number.
So the greatest common factor 769,629 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 8738/769, 8998/629?
Answer: LCM of Numerators as per given numbers 8738/769, 8998/629 is
LCM of Numerators i.e. for 8738,8998 is 39312262
GCF of denominators i.e. for 769,629 is 1.
Thus, LCM of Fractions is 39312262.Finally, LCM of Fractions for 8738/769, 8998/629 is 39312262.