Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/320, 66/673, 335/969 quickly i.e. 154770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/320, 66/673, 335/969 is 154770.
LCM(21/320, 66/673, 335/969) = 154770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/320,66/673,335/969
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 21,66,335
Least Common Multiple of Numerators i.e. LCM of 21,66,335 is 154770.
GCF of Denominators means GCF of 320,673,969 as per the given fractions.
GCF of 320,673,969 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,66,335
3 | 21, 66, 335 |
7, 22, 335 |
∴ So the LCM of the given numbers is 3 x 7 x 22 x 335 = 154770
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 21,66,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,66,335) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,66,335) x common factors =1 x 3 = 3
LCM(21,66,335) = ( 21 × 66 × 335 ) / 3
LCM(21,66,335) = 464310 / 3
LCM(21,66,335) = 154770
Lets's calculate GCF of 320,673,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154770/1
Therefore the LCM of Fractions 21/320,66/673,335/969 is 154770
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 320,673,969 . The biggest common factor number is the GCF number.
So the greatest common factor 320,673,969 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 21/320, 66/673, 335/969?
Answer: LCM of Numerators as per given numbers 21/320, 66/673, 335/969 is
LCM of Numerators i.e. for 21,66,335 is 154770
GCF of denominators i.e. for 320,673,969 is 1.
Thus, LCM of Fractions is 154770.Finally, LCM of Fractions for 21/320, 66/673, 335/969 is 154770.