Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/450, 865/939, 962/230 quickly i.e. 13314080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/450, 865/939, 962/230 is 13314080.
LCM(32/450, 865/939, 962/230) = 13314080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/450,865/939,962/230
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 32,865,962
Least Common Multiple of Numerators i.e. LCM of 32,865,962 is 13314080.
GCF of Denominators means GCF of 450,939,230 as per the given fractions.
GCF of 450,939,230 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,865,962
2 | 32, 865, 962 |
16, 865, 481 |
∴ So the LCM of the given numbers is 2 x 16 x 865 x 481 = 13314080
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 32,865,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,865,962) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,865,962) x common factors =1 x 2 = 2
LCM(32,865,962) = ( 32 × 865 × 962 ) / 2
LCM(32,865,962) = 26628160 / 2
LCM(32,865,962) = 13314080
Lets's calculate GCF of 450,939,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13314080/1
Therefore the LCM of Fractions 32/450,865/939,962/230 is 13314080
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 450,939,230 . The biggest common factor number is the GCF number.
So the greatest common factor 450,939,230 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 32/450, 865/939, 962/230?
Answer: LCM of Numerators as per given numbers 32/450, 865/939, 962/230 is
LCM of Numerators i.e. for 32,865,962 is 13314080
GCF of denominators i.e. for 450,939,230 is 1.
Thus, LCM of Fractions is 13314080.Finally, LCM of Fractions for 32/450, 865/939, 962/230 is 13314080.