Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/405, 181/748, 149/894 quickly i.e. 2508117 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/405, 181/748, 149/894 is 2508117.
LCM(93/405, 181/748, 149/894) = 2508117
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/405,181/748,149/894
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 93,181,149
Least Common Multiple of Numerators i.e. LCM of 93,181,149 is 2508117.
GCF of Denominators means GCF of 405,748,894 as per the given fractions.
GCF of 405,748,894 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,181,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 2508117
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 93,181,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,181,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,181,149) x common factors =1 x 1 = 1
LCM(93,181,149) = ( 93 × 181 × 149 ) / 1
LCM(93,181,149) = 2508117 / 1
LCM(93,181,149) = 2508117
Lets's calculate GCF of 405,748,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2508117/1
Therefore the LCM of Fractions 93/405,181/748,149/894 is 2508117
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 405,748,894 . The biggest common factor number is the GCF number.
So the greatest common factor 405,748,894 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 93/405, 181/748, 149/894?
Answer: LCM of Numerators as per given numbers 93/405, 181/748, 149/894 is
LCM of Numerators i.e. for 93,181,149 is 2508117
GCF of denominators i.e. for 405,748,894 is 1.
Thus, LCM of Fractions is 2508117.Finally, LCM of Fractions for 93/405, 181/748, 149/894 is 2508117.