Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/351, 66/645, 560/208 quickly i.e. 240240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/351, 66/645, 560/208 is 240240.
LCM(39/351, 66/645, 560/208) = 240240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/351,66/645,560/208
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 39,66,560
Least Common Multiple of Numerators i.e. LCM of 39,66,560 is 240240.
GCF of Denominators means GCF of 351,645,208 as per the given fractions.
GCF of 351,645,208 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,66,560
2 | 39, 66, 560 |
3 | 39, 33, 280 |
13, 11, 280 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 280 = 240240
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 39,66,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,66,560) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(39,66,560) x common factors =1 x 6 = 6
LCM(39,66,560) = ( 39 × 66 × 560 ) / 6
LCM(39,66,560) = 1441440 / 6
LCM(39,66,560) = 240240
Lets's calculate GCF of 351,645,208
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240240/1
Therefore the LCM of Fractions 39/351,66/645,560/208 is 240240
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 351,645,208 . The biggest common factor number is the GCF number.
So the greatest common factor 351,645,208 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 39/351, 66/645, 560/208?
Answer: LCM of Numerators as per given numbers 39/351, 66/645, 560/208 is
LCM of Numerators i.e. for 39,66,560 is 240240
GCF of denominators i.e. for 351,645,208 is 1.
Thus, LCM of Fractions is 240240.Finally, LCM of Fractions for 39/351, 66/645, 560/208 is 240240.