Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/843, 627/513, 104/608 quickly i.e. 1499784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/843, 627/513, 104/608 is 1499784.
LCM(69/843, 627/513, 104/608) = 1499784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/843,627/513,104/608
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 69,627,104
Least Common Multiple of Numerators i.e. LCM of 69,627,104 is 1499784.
GCF of Denominators means GCF of 843,513,608 as per the given fractions.
GCF of 843,513,608 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,627,104
3 | 69, 627, 104 |
23, 209, 104 |
∴ So the LCM of the given numbers is 3 x 23 x 209 x 104 = 1499784
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 69,627,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,627,104) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,627,104) x common factors =1 x 3 = 3
LCM(69,627,104) = ( 69 × 627 × 104 ) / 3
LCM(69,627,104) = 4499352 / 3
LCM(69,627,104) = 1499784
Lets's calculate GCF of 843,513,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1499784/1
Therefore the LCM of Fractions 69/843,627/513,104/608 is 1499784
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 843,513,608 . The biggest common factor number is the GCF number.
So the greatest common factor 843,513,608 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 69/843, 627/513, 104/608?
Answer: LCM of Numerators as per given numbers 69/843, 627/513, 104/608 is
LCM of Numerators i.e. for 69,627,104 is 1499784
GCF of denominators i.e. for 843,513,608 is 1.
Thus, LCM of Fractions is 1499784.Finally, LCM of Fractions for 69/843, 627/513, 104/608 is 1499784.