Least Common Multiple of 32/285, 380/20, 450/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/285, 380/20, 450/955 quickly i.e. 27360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/285, 380/20, 450/955 is 27360.

LCM(32/285, 380/20, 450/955) = 27360

LCM of 32/285, 380/20, 450/955

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 32/285,380/20,450/955

Given numbers are 32/285,380/20,450/955

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 32,380,450

Least Common Multiple of Numerators i.e. LCM of 32,380,450 is 136800.

GCF of Denominators means GCF of 285,20,955 as per the given fractions.

GCF of 285,20,955 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,380,450

LCM of Fractions 32/285,380/20,450/955 is 27360

2 32, 380, 450
2 16, 190, 225
5 8, 95, 225
8, 19, 45

∴ So the LCM of the given numbers is 2 x 2 x 5 x 8 x 19 x 45 = 136800

Least Common Multiple of 32,380,450 with GCF Formula

Least Common Multiple of 32,380,450 with GCF Formula

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 32,380,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,380,450) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(32,380,450) x common factors =2 x 20 = 40

LCM(32,380,450) = ( 32 × 380 × 450 ) / 40

LCM(32,380,450) = 5472000 / 40

LCM(32,380,450) = 136800


Lets's calculate GCF of 285,20,955

5 285, 20, 955
57, 4, 191

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136800/5

Therefore the LCM of Fractions 32/285,380/20,450/955 is 27360

Greatest Common Factor of 285,20,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,20,955 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 285,20,955 . The biggest common factor number is the GCF number.
So the greatest common factor 285,20,955 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 32/285, 380/20, 450/955

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 32/285, 380/20, 450/955?

Answer: LCM of Numerators as per given numbers 32/285, 380/20, 450/955 is

LCM of Numerators i.e. for 32,380,450 is 136800

GCF of denominators i.e. for 285,20,955 is 5.

Thus, LCM of Fractions is 27360.Finally, LCM of Fractions for 32/285, 380/20, 450/955 is 27360.