Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/748, 23/264, 741/285 quickly i.e. 1363440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/748, 23/264, 741/285 is 1363440.
LCM(80/748, 23/264, 741/285) = 1363440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/748,23/264,741/285
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 80,23,741
Least Common Multiple of Numerators i.e. LCM of 80,23,741 is 1363440.
GCF of Denominators means GCF of 748,264,285 as per the given fractions.
GCF of 748,264,285 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,23,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 1363440
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 80,23,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,23,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,23,741) x common factors =1 x 1 = 1
LCM(80,23,741) = ( 80 × 23 × 741 ) / 1
LCM(80,23,741) = 1363440 / 1
LCM(80,23,741) = 1363440
Lets's calculate GCF of 748,264,285
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1363440/1
Therefore the LCM of Fractions 80/748,23/264,741/285 is 1363440
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
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 748,264,285 . The biggest common factor number is the GCF number.
So the greatest common factor 748,264,285 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 80/748, 23/264, 741/285?
Answer: LCM of Numerators as per given numbers 80/748, 23/264, 741/285 is
LCM of Numerators i.e. for 80,23,741 is 1363440
GCF of denominators i.e. for 748,264,285 is 1.
Thus, LCM of Fractions is 1363440.Finally, LCM of Fractions for 80/748, 23/264, 741/285 is 1363440.