Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/110, 633/380, 238/655 quickly i.e. 13408206/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/110, 633/380, 238/655 is 13408206/5.
LCM(89/110, 633/380, 238/655) = 13408206/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/110,633/380,238/655
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 89,633,238
Least Common Multiple of Numerators i.e. LCM of 89,633,238 is 13408206.
GCF of Denominators means GCF of 110,380,655 as per the given fractions.
GCF of 110,380,655 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,633,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 13408206
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 89,633,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,633,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,633,238) x common factors =1 x 1 = 1
LCM(89,633,238) = ( 89 × 633 × 238 ) / 1
LCM(89,633,238) = 13408206 / 1
LCM(89,633,238) = 13408206
Lets's calculate GCF of 110,380,655
5 | 110, 380, 655 |
22, 76, 131 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13408206/5
Therefore the LCM of Fractions 89/110,633/380,238/655 is 13408206/5
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 110,380,655 . The biggest common factor number is the GCF number.
So the greatest common factor 110,380,655 is 5.
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 89/110, 633/380, 238/655?
Answer: LCM of Numerators as per given numbers 89/110, 633/380, 238/655 is
LCM of Numerators i.e. for 89,633,238 is 13408206
GCF of denominators i.e. for 110,380,655 is 5.
Thus, LCM of Fractions is 13408206/5.Finally, LCM of Fractions for 89/110, 633/380, 238/655 is 13408206/5.