Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/69, 459/54, 511/294 quickly i.e. 4612797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/69, 459/54, 511/294 is 4612797.
LCM(59/69, 459/54, 511/294) = 4612797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/69,459/54,511/294
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 59,459,511
Least Common Multiple of Numerators i.e. LCM of 59,459,511 is 13838391.
GCF of Denominators means GCF of 69,54,294 as per the given fractions.
GCF of 69,54,294 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,459,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 13838391
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 59,459,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,459,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,459,511) x common factors =1 x 1 = 1
LCM(59,459,511) = ( 59 × 459 × 511 ) / 1
LCM(59,459,511) = 13838391 / 1
LCM(59,459,511) = 13838391
Lets's calculate GCF of 69,54,294
3 | 69, 54, 294 |
23, 18, 98 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13838391/3
Therefore the LCM of Fractions 59/69,459/54,511/294 is 4612797
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 69,54,294 . The biggest common factor number is the GCF number.
So the greatest common factor 69,54,294 is 3.
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 59/69, 459/54, 511/294?
Answer: LCM of Numerators as per given numbers 59/69, 459/54, 511/294 is
LCM of Numerators i.e. for 59,459,511 is 13838391
GCF of denominators i.e. for 69,54,294 is 3.
Thus, LCM of Fractions is 4612797.Finally, LCM of Fractions for 59/69, 459/54, 511/294 is 4612797.