Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/932, 64/142, 945/195 quickly i.e. 181440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/932, 64/142, 945/195 is 181440.
LCM(81/932, 64/142, 945/195) = 181440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/932,64/142,945/195
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 81,64,945
Least Common Multiple of Numerators i.e. LCM of 81,64,945 is 181440.
GCF of Denominators means GCF of 932,142,195 as per the given fractions.
GCF of 932,142,195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,64,945
3 | 81, 64, 945 |
3 | 27, 64, 315 |
3 | 9, 64, 105 |
3, 64, 35 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 64 x 35 = 181440
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 81,64,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,64,945) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(81,64,945) x common factors =1 x 27 = 27
LCM(81,64,945) = ( 81 × 64 × 945 ) / 27
LCM(81,64,945) = 4898880 / 27
LCM(81,64,945) = 181440
Lets's calculate GCF of 932,142,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181440/1
Therefore the LCM of Fractions 81/932,64/142,945/195 is 181440
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 932,142,195 . The biggest common factor number is the GCF number.
So the greatest common factor 932,142,195 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 81/932, 64/142, 945/195?
Answer: LCM of Numerators as per given numbers 81/932, 64/142, 945/195 is
LCM of Numerators i.e. for 81,64,945 is 181440
GCF of denominators i.e. for 932,142,195 is 1.
Thus, LCM of Fractions is 181440.Finally, LCM of Fractions for 81/932, 64/142, 945/195 is 181440.