Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 314/957, 268/843, 894/433 quickly i.e. 18807972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 314/957, 268/843, 894/433 is 18807972.
LCM(314/957, 268/843, 894/433) = 18807972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 314/957,268/843,894/433
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 314,268,894
Least Common Multiple of Numerators i.e. LCM of 314,268,894 is 18807972.
GCF of Denominators means GCF of 957,843,433 as per the given fractions.
GCF of 957,843,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 314,268,894
2 | 314, 268, 894 |
157, 134, 447 |
∴ So the LCM of the given numbers is 2 x 157 x 134 x 447 = 18807972
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 314,268,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,268,894) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(314,268,894) x common factors =2 x 2 = 4
LCM(314,268,894) = ( 314 × 268 × 894 ) / 4
LCM(314,268,894) = 75231888 / 4
LCM(314,268,894) = 18807972
Lets's calculate GCF of 957,843,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18807972/1
Therefore the LCM of Fractions 314/957,268/843,894/433 is 18807972
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 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 957,843,433 . The biggest common factor number is the GCF number.
So the greatest common factor 957,843,433 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 314/957, 268/843, 894/433?
Answer: LCM of Numerators as per given numbers 314/957, 268/843, 894/433 is
LCM of Numerators i.e. for 314,268,894 is 18807972
GCF of denominators i.e. for 957,843,433 is 1.
Thus, LCM of Fractions is 18807972.Finally, LCM of Fractions for 314/957, 268/843, 894/433 is 18807972.