Know Least Common Multiple of fractions 54/19, 49/32, 255/42 quickly i.e. 224910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/19, 49/32, 255/42 is **224910**.

LCM(54/19, 49/32, 255/42) = 224910

Enter two or more fractions separated by **"commas"**

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

Given numbers are 54/19,49/32,255/42

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 54,49,255

Least Common Multiple of Numerators i.e. LCM of 54,49,255 is 224910.

GCF of Denominators means GCF of 19,32,42 as per the given fractions.

GCF of 19,32,42 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,49,255

3 | 54, 49, 255 |

18, 49, 85 |

∴ So the LCM of the given numbers is 3 x 18 x 49 x 85 = 224910

The formula of **LCM** is LCM(a_{1},a_{2},a_{3}....,a_{n}) = ( a_{1} × a_{2} × a_{3} × .... × a_{n}) / GCF(a_{1},a_{2},a_{3}....,a_{n}) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,49,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,49,255) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,49,255) x common factors =1 x 3 = 3

LCM(54,49,255) = ( 54 × 49 × 255 ) / 3

LCM(54,49,255) = 674730 / 3

LCM(54,49,255) = 224910

Lets's calculate GCF of 19,32,42

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224910/1

Therefore the LCM of Fractions 54/19,49/32,255/42 is 224910

**Factors of 19**

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

**Factors of 32**

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

**Factors of 42**

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

**Greatest Common Factor**

We found the factors 19,32,42 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 19,32,42 ** is **1**.

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 54/19, 49/32, 255/42?

Answer: LCM of Numerators as per given numbers 54/19, 49/32, 255/42 is

LCM of Numerators i.e. for 54,49,255 is 224910

GCF of denominators i.e. for 19,32,42 is 1.

Thus, LCM of Fractions is 224910.Finally, LCM of Fractions for 54/19, 49/32, 255/42 is 224910.