Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5043/666, 4303/748 quickly i.e. 21700029/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5043/666, 4303/748 is 21700029/2.
LCM(5043/666, 4303/748) = 21700029/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5043/666,4303/748
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 5043,4303
Least Common Multiple of Numerators i.e. LCM of 5043,4303 is 21700029.
GCF of Denominators means GCF of 666,748 as per the given fractions.
GCF of 666,748 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5043,4303
Given numbers has no common factors except 1. So, there LCM is their product i.e 21700029
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 5043,4303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5043,4303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5043,4303) x common factors =1 x 1 = 1
LCM(5043,4303) = ( 5043 × 4303 ) / 1
LCM(5043,4303) = 21700029 / 1
LCM(5043,4303) = 21700029
Lets's calculate GCF of 666,748
2 | 666, 748 |
333, 374 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21700029/2
Therefore the LCM of Fractions 5043/666,4303/748 is 21700029/2
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 666,748 . The biggest common factor number is the GCF number.
So the greatest common factor 666,748 is 2.
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 5043/666, 4303/748?
Answer: LCM of Numerators as per given numbers 5043/666, 4303/748 is
LCM of Numerators i.e. for 5043,4303 is 21700029
GCF of denominators i.e. for 666,748 is 2.
Thus, LCM of Fractions is 21700029/2.Finally, LCM of Fractions for 5043/666, 4303/748 is 21700029/2.