Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/756, 60/604, 171/906 quickly i.e. 22230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/756, 60/604, 171/906 is 22230.
LCM(78/756, 60/604, 171/906) = 22230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/756,60/604,171/906
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 78,60,171
Least Common Multiple of Numerators i.e. LCM of 78,60,171 is 44460.
GCF of Denominators means GCF of 756,604,906 as per the given fractions.
GCF of 756,604,906 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,60,171
2 | 78, 60, 171 |
3 | 39, 30, 171 |
13, 10, 57 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 10 x 57 = 44460
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 78,60,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,60,171) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(78,60,171) x common factors =3 x 6 = 18
LCM(78,60,171) = ( 78 × 60 × 171 ) / 18
LCM(78,60,171) = 800280 / 18
LCM(78,60,171) = 44460
Lets's calculate GCF of 756,604,906
2 | 756, 604, 906 |
378, 302, 453 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44460/2
Therefore the LCM of Fractions 78/756,60/604,171/906 is 22230
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 756,604,906 . The biggest common factor number is the GCF number.
So the greatest common factor 756,604,906 is 2.
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 78/756, 60/604, 171/906?
Answer: LCM of Numerators as per given numbers 78/756, 60/604, 171/906 is
LCM of Numerators i.e. for 78,60,171 is 44460
GCF of denominators i.e. for 756,604,906 is 2.
Thus, LCM of Fractions is 22230.Finally, LCM of Fractions for 78/756, 60/604, 171/906 is 22230.