Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 781/94, 190/99, 301/231 quickly i.e. 44665390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 781/94, 190/99, 301/231 is 44665390.
LCM(781/94, 190/99, 301/231) = 44665390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 781/94,190/99,301/231
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 781,190,301
Least Common Multiple of Numerators i.e. LCM of 781,190,301 is 44665390.
GCF of Denominators means GCF of 94,99,231 as per the given fractions.
GCF of 94,99,231 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 781,190,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 44665390
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 781,190,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,190,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,190,301) x common factors =1 x 1 = 1
LCM(781,190,301) = ( 781 × 190 × 301 ) / 1
LCM(781,190,301) = 44665390 / 1
LCM(781,190,301) = 44665390
Lets's calculate GCF of 94,99,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44665390/1
Therefore the LCM of Fractions 781/94,190/99,301/231 is 44665390
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 94,99,231 . The biggest common factor number is the GCF number.
So the greatest common factor 94,99,231 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 781/94, 190/99, 301/231?
Answer: LCM of Numerators as per given numbers 781/94, 190/99, 301/231 is
LCM of Numerators i.e. for 781,190,301 is 44665390
GCF of denominators i.e. for 94,99,231 is 1.
Thus, LCM of Fractions is 44665390.Finally, LCM of Fractions for 781/94, 190/99, 301/231 is 44665390.