Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/857, 691/46, 267/275 quickly i.e. 1844970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/857, 691/46, 267/275 is 1844970.
LCM(30/857, 691/46, 267/275) = 1844970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/857,691/46,267/275
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 30,691,267
Least Common Multiple of Numerators i.e. LCM of 30,691,267 is 1844970.
GCF of Denominators means GCF of 857,46,275 as per the given fractions.
GCF of 857,46,275 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,691,267
3 | 30, 691, 267 |
10, 691, 89 |
∴ So the LCM of the given numbers is 3 x 10 x 691 x 89 = 1844970
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 30,691,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,691,267) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(30,691,267) x common factors =1 x 3 = 3
LCM(30,691,267) = ( 30 × 691 × 267 ) / 3
LCM(30,691,267) = 5534910 / 3
LCM(30,691,267) = 1844970
Lets's calculate GCF of 857,46,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1844970/1
Therefore the LCM of Fractions 30/857,691/46,267/275 is 1844970
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 857,46,275 . The biggest common factor number is the GCF number.
So the greatest common factor 857,46,275 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 30/857, 691/46, 267/275?
Answer: LCM of Numerators as per given numbers 30/857, 691/46, 267/275 is
LCM of Numerators i.e. for 30,691,267 is 1844970
GCF of denominators i.e. for 857,46,275 is 1.
Thus, LCM of Fractions is 1844970.Finally, LCM of Fractions for 30/857, 691/46, 267/275 is 1844970.