Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 643/739, 7878/5236 quickly i.e. 5065554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 643/739, 7878/5236 is 5065554.
LCM(643/739, 7878/5236) = 5065554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 643/739,7878/5236
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 643,7878
Least Common Multiple of Numerators i.e. LCM of 643,7878 is 5065554.
GCF of Denominators means GCF of 739,5236 as per the given fractions.
GCF of 739,5236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 643,7878
Given numbers has no common factors except 1. So, there LCM is their product i.e 5065554
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 643,7878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,7878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,7878) x common factors =1 x 1 = 1
LCM(643,7878) = ( 643 × 7878 ) / 1
LCM(643,7878) = 5065554 / 1
LCM(643,7878) = 5065554
Lets's calculate GCF of 739,5236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5065554/1
Therefore the LCM of Fractions 643/739,7878/5236 is 5065554
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 5236
List of positive integer factors of 5236 that divides 5236 without a remainder.
1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236
Greatest Common Factor
We found the factors 739,5236 . The biggest common factor number is the GCF number.
So the greatest common factor 739,5236 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 643/739, 7878/5236?
Answer: LCM of Numerators as per given numbers 643/739, 7878/5236 is
LCM of Numerators i.e. for 643,7878 is 5065554
GCF of denominators i.e. for 739,5236 is 1.
Thus, LCM of Fractions is 5065554.Finally, LCM of Fractions for 643/739, 7878/5236 is 5065554.