Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 169/30, 592/51, 706/81 quickly i.e. 35316944/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 169/30, 592/51, 706/81 is 35316944/3.
LCM(169/30, 592/51, 706/81) = 35316944/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 169/30,592/51,706/81
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 169,592,706
Least Common Multiple of Numerators i.e. LCM of 169,592,706 is 35316944.
GCF of Denominators means GCF of 30,51,81 as per the given fractions.
GCF of 30,51,81 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 169,592,706
2 | 169, 592, 706 |
169, 296, 353 |
∴ So the LCM of the given numbers is 2 x 169 x 296 x 353 = 35316944
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 169,592,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,592,706) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(169,592,706) x common factors =1 x 2 = 2
LCM(169,592,706) = ( 169 × 592 × 706 ) / 2
LCM(169,592,706) = 70633888 / 2
LCM(169,592,706) = 35316944
Lets's calculate GCF of 30,51,81
3 | 30, 51, 81 |
10, 17, 27 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35316944/3
Therefore the LCM of Fractions 169/30,592/51,706/81 is 35316944/3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Greatest Common Factor
We found the factors 30,51,81 . The biggest common factor number is the GCF number.
So the greatest common factor 30,51,81 is 3.
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 169/30, 592/51, 706/81?
Answer: LCM of Numerators as per given numbers 169/30, 592/51, 706/81 is
LCM of Numerators i.e. for 169,592,706 is 35316944
GCF of denominators i.e. for 30,51,81 is 3.
Thus, LCM of Fractions is 35316944/3.Finally, LCM of Fractions for 169/30, 592/51, 706/81 is 35316944/3.