Know Least Common Multiple of fractions 152/56, 190/96, 228/200 quickly i.e. 285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/56, 190/96, 228/200 is **285**.

LCM(152/56, 190/96, 228/200) = 285

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

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

Given numbers are 152/56,190/96,228/200

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 152,190,228

Least Common Multiple of Numerators i.e. LCM of 152,190,228 is 2280.

GCF of Denominators means GCF of 56,96,200 as per the given fractions.

GCF of 56,96,200 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,190,228

2 | 152, 190, 228 |

2 | 76, 95, 114 |

19 | 38, 95, 57 |

2, 5, 3 |

∴ So the LCM of the given numbers is 2 x 2 x 19 x 2 x 5 x 3 = 2280

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 152,190,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,190,228) = 38

common factors(in case of two or more numbers have common factors) = 76

GCF(152,190,228) x common factors =38 x 76 = 2888

LCM(152,190,228) = ( 152 × 190 × 228 ) / 2888

LCM(152,190,228) = 6584640 / 2888

LCM(152,190,228) = 2280

Lets's calculate GCF of 56,96,200

2 | 56, 96, 200 |

2 | 28, 48, 100 |

2 | 14, 24, 50 |

7, 12, 25 |

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/8

Therefore the LCM of Fractions 152/56,190/96,228/200 is 285

**Factors of 56**

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

**Factors of 96**

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

**Factors of 200**

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

**Greatest Common Factor**

We found the factors 56,96,200 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 56,96,200 ** is **8**.

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 152/56, 190/96, 228/200?

Answer: LCM of Numerators as per given numbers 152/56, 190/96, 228/200 is

LCM of Numerators i.e. for 152,190,228 is 2280

GCF of denominators i.e. for 56,96,200 is 8.

Thus, LCM of Fractions is 285.Finally, LCM of Fractions for 152/56, 190/96, 228/200 is 285.