Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/73, 144/71, 197/76 quickly i.e. 312048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/73, 144/71, 197/76 is 312048.
LCM(66/73, 144/71, 197/76) = 312048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/73,144/71,197/76
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 66,144,197
Least Common Multiple of Numerators i.e. LCM of 66,144,197 is 312048.
GCF of Denominators means GCF of 73,71,76 as per the given fractions.
GCF of 73,71,76 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,144,197
2 | 66, 144, 197 |
3 | 33, 72, 197 |
11, 24, 197 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 24 x 197 = 312048
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 66,144,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,144,197) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,144,197) x common factors =1 x 6 = 6
LCM(66,144,197) = ( 66 × 144 × 197 ) / 6
LCM(66,144,197) = 1872288 / 6
LCM(66,144,197) = 312048
Lets's calculate GCF of 73,71,76
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312048/1
Therefore the LCM of Fractions 66/73,144/71,197/76 is 312048
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Greatest Common Factor
We found the factors 73,71,76 . The biggest common factor number is the GCF number.
So the greatest common factor 73,71,76 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 66/73, 144/71, 197/76?
Answer: LCM of Numerators as per given numbers 66/73, 144/71, 197/76 is
LCM of Numerators i.e. for 66,144,197 is 312048
GCF of denominators i.e. for 73,71,76 is 1.
Thus, LCM of Fractions is 312048.Finally, LCM of Fractions for 66/73, 144/71, 197/76 is 312048.