Know Least Common Multiple of fractions 72/52, 28/74, 72/559 quickly i.e. 504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/52, 28/74, 72/559 is **504**.

LCM(72/52, 28/74, 72/559) = 504

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

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

Given numbers are 72/52,28/74,72/559

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 72,28,72

Least Common Multiple of Numerators i.e. LCM of 72,28,72 is 504.

GCF of Denominators means GCF of 52,74,559 as per the given fractions.

GCF of 52,74,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,28,72

2 | 72, 28, 72 |

2 | 36, 14, 36 |

2 | 18, 7, 18 |

3 | 9, 7, 9 |

3 | 3, 7, 3 |

1, 7, 1 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 7 x 1 = 504

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 72,28,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,28,72) = 4

common factors(in case of two or more numbers have common factors) = 72

GCF(72,28,72) x common factors =4 x 72 = 288

LCM(72,28,72) = ( 72 × 28 × 72 ) / 288

LCM(72,28,72) = 145152 / 288

LCM(72,28,72) = 504

Lets's calculate GCF of 52,74,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504/1

Therefore the LCM of Fractions 72/52,28/74,72/559 is 504

**Factors of 52**

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

**Factors of 74**

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

**Factors of 559**

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

**Greatest Common Factor**

We found the factors 52,74,559 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 52,74,559 ** 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 72/52, 28/74, 72/559?

Answer: LCM of Numerators as per given numbers 72/52, 28/74, 72/559 is

LCM of Numerators i.e. for 72,28,72 is 504

GCF of denominators i.e. for 52,74,559 is 1.

Thus, LCM of Fractions is 504.Finally, LCM of Fractions for 72/52, 28/74, 72/559 is 504.