Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/270, 2402/8285 quickly i.e. 38432/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/270, 2402/8285 is 38432/5.
LCM(32/270, 2402/8285) = 38432/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/270,2402/8285
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 32,2402
Least Common Multiple of Numerators i.e. LCM of 32,2402 is 38432.
GCF of Denominators means GCF of 270,8285 as per the given fractions.
GCF of 270,8285 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,2402
2 | 32, 2402 |
16, 1201 |
∴ So the LCM of the given numbers is 2 x 16 x 1201 = 38432
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 32,2402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,2402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,2402) x common factors =2 x 1 = 2
LCM(32,2402) = ( 32 × 2402 ) / 2
LCM(32,2402) = 76864 / 2
LCM(32,2402) = 38432
Lets's calculate GCF of 270,8285
5 | 270, 8285 |
54, 1657 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38432/5
Therefore the LCM of Fractions 32/270,2402/8285 is 38432/5
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 8285
List of positive integer factors of 8285 that divides 8285 without a remainder.
1,5,1657,8285
Greatest Common Factor
We found the factors 270,8285 . The biggest common factor number is the GCF number.
So the greatest common factor 270,8285 is 5.
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 32/270, 2402/8285?
Answer: LCM of Numerators as per given numbers 32/270, 2402/8285 is
LCM of Numerators i.e. for 32,2402 is 38432
GCF of denominators i.e. for 270,8285 is 5.
Thus, LCM of Fractions is 38432/5.Finally, LCM of Fractions for 32/270, 2402/8285 is 38432/5.