Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/123, 94/175, 284/909 quickly i.e. 1241364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/123, 94/175, 284/909 is 1241364.
LCM(93/123, 94/175, 284/909) = 1241364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/123,94/175,284/909
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 93,94,284
Least Common Multiple of Numerators i.e. LCM of 93,94,284 is 1241364.
GCF of Denominators means GCF of 123,175,909 as per the given fractions.
GCF of 123,175,909 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,94,284
2 | 93, 94, 284 |
93, 47, 142 |
∴ So the LCM of the given numbers is 2 x 93 x 47 x 142 = 1241364
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 93,94,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,94,284) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(93,94,284) x common factors =1 x 2 = 2
LCM(93,94,284) = ( 93 × 94 × 284 ) / 2
LCM(93,94,284) = 2482728 / 2
LCM(93,94,284) = 1241364
Lets's calculate GCF of 123,175,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1241364/1
Therefore the LCM of Fractions 93/123,94/175,284/909 is 1241364
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Greatest Common Factor
We found the factors 123,175,909 . The biggest common factor number is the GCF number.
So the greatest common factor 123,175,909 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 93/123, 94/175, 284/909?
Answer: LCM of Numerators as per given numbers 93/123, 94/175, 284/909 is
LCM of Numerators i.e. for 93,94,284 is 1241364
GCF of denominators i.e. for 123,175,909 is 1.
Thus, LCM of Fractions is 1241364.Finally, LCM of Fractions for 93/123, 94/175, 284/909 is 1241364.