Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/682, 600/161, 120/386 quickly i.e. 6600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/682, 600/161, 120/386 is 6600.
LCM(66/682, 600/161, 120/386) = 6600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/682,600/161,120/386
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 66,600,120
Least Common Multiple of Numerators i.e. LCM of 66,600,120 is 6600.
GCF of Denominators means GCF of 682,161,386 as per the given fractions.
GCF of 682,161,386 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,600,120
2 | 66, 600, 120 |
2 | 33, 300, 60 |
2 | 33, 150, 30 |
3 | 33, 75, 15 |
5 | 11, 25, 5 |
11, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 11 x 1 x 5 = 6600
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 66,600,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,600,120) = 6
common factors(in case of two or more numbers have common factors) = 120
GCF(66,600,120) x common factors =6 x 120 = 720
LCM(66,600,120) = ( 66 × 600 × 120 ) / 720
LCM(66,600,120) = 4752000 / 720
LCM(66,600,120) = 6600
Lets's calculate GCF of 682,161,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6600/1
Therefore the LCM of Fractions 66/682,600/161,120/386 is 6600
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 682,161,386 . The biggest common factor number is the GCF number.
So the greatest common factor 682,161,386 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 66/682, 600/161, 120/386?
Answer: LCM of Numerators as per given numbers 66/682, 600/161, 120/386 is
LCM of Numerators i.e. for 66,600,120 is 6600
GCF of denominators i.e. for 682,161,386 is 1.
Thus, LCM of Fractions is 6600.Finally, LCM of Fractions for 66/682, 600/161, 120/386 is 6600.