Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/669, 83/594, 629/380 quickly i.e. 3602283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/669, 83/594, 629/380 is 3602283.
LCM(69/669, 83/594, 629/380) = 3602283
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/669,83/594,629/380
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 69,83,629
Least Common Multiple of Numerators i.e. LCM of 69,83,629 is 3602283.
GCF of Denominators means GCF of 669,594,380 as per the given fractions.
GCF of 669,594,380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,83,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 3602283
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 69,83,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,83,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,83,629) x common factors =1 x 1 = 1
LCM(69,83,629) = ( 69 × 83 × 629 ) / 1
LCM(69,83,629) = 3602283 / 1
LCM(69,83,629) = 3602283
Lets's calculate GCF of 669,594,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3602283/1
Therefore the LCM of Fractions 69/669,83/594,629/380 is 3602283
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 669,594,380 . The biggest common factor number is the GCF number.
So the greatest common factor 669,594,380 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 69/669, 83/594, 629/380?
Answer: LCM of Numerators as per given numbers 69/669, 83/594, 629/380 is
LCM of Numerators i.e. for 69,83,629 is 3602283
GCF of denominators i.e. for 669,594,380 is 1.
Thus, LCM of Fractions is 3602283.Finally, LCM of Fractions for 69/669, 83/594, 629/380 is 3602283.