Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/669, 62/683, 619/330 quickly i.e. 3722666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/669, 62/683, 619/330 is 3722666.
LCM(97/669, 62/683, 619/330) = 3722666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/669,62/683,619/330
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 97,62,619
Least Common Multiple of Numerators i.e. LCM of 97,62,619 is 3722666.
GCF of Denominators means GCF of 669,683,330 as per the given fractions.
GCF of 669,683,330 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,62,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 3722666
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 97,62,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,62,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,62,619) x common factors =1 x 1 = 1
LCM(97,62,619) = ( 97 × 62 × 619 ) / 1
LCM(97,62,619) = 3722666 / 1
LCM(97,62,619) = 3722666
Lets's calculate GCF of 669,683,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3722666/1
Therefore the LCM of Fractions 97/669,62/683,619/330 is 3722666
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 669,683,330 . The biggest common factor number is the GCF number.
So the greatest common factor 669,683,330 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 97/669, 62/683, 619/330?
Answer: LCM of Numerators as per given numbers 97/669, 62/683, 619/330 is
LCM of Numerators i.e. for 97,62,619 is 3722666
GCF of denominators i.e. for 669,683,330 is 1.
Thus, LCM of Fractions is 3722666.Finally, LCM of Fractions for 97/669, 62/683, 619/330 is 3722666.