Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/957, 57/293, 382/411 quickly i.e. 500802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/957, 57/293, 382/411 is 500802.
LCM(23/957, 57/293, 382/411) = 500802
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/957,57/293,382/411
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 23,57,382
Least Common Multiple of Numerators i.e. LCM of 23,57,382 is 500802.
GCF of Denominators means GCF of 957,293,411 as per the given fractions.
GCF of 957,293,411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,57,382
Given numbers has no common factors except 1. So, there LCM is their product i.e 500802
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 23,57,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,57,382) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,57,382) x common factors =1 x 1 = 1
LCM(23,57,382) = ( 23 × 57 × 382 ) / 1
LCM(23,57,382) = 500802 / 1
LCM(23,57,382) = 500802
Lets's calculate GCF of 957,293,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500802/1
Therefore the LCM of Fractions 23/957,57/293,382/411 is 500802
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 957,293,411 . The biggest common factor number is the GCF number.
So the greatest common factor 957,293,411 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 23/957, 57/293, 382/411?
Answer: LCM of Numerators as per given numbers 23/957, 57/293, 382/411 is
LCM of Numerators i.e. for 23,57,382 is 500802
GCF of denominators i.e. for 957,293,411 is 1.
Thus, LCM of Fractions is 500802.Finally, LCM of Fractions for 23/957, 57/293, 382/411 is 500802.