Know Least Common Multiple of fractions 60/42, 72/63, 85/66, 96/86 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/42, 72/63, 85/66, 96/86 is **24480**.

LCM(60/42, 72/63, 85/66, 96/86) = 24480

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

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

Given numbers are 60/42,72/63,85/66,96/86

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 60,72,85,96

Least Common Multiple of Numerators i.e. LCM of 60,72,85,96 is 24480.

GCF of Denominators means GCF of 42,63,66,86 as per the given fractions.

GCF of 42,63,66,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,72,85,96

2 | 60, 72, 85, 96 |

2 | 30, 36, 85, 48 |

2 | 15, 18, 85, 24 |

3 | 15, 9, 85, 12 |

5 | 5, 3, 85, 4 |

1, 3, 17, 4 |

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 3 x 17 x 4 = 24480

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 60,72,85,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,72,85,96) = 1

common factors(in case of two or more numbers have common factors) = 1440

GCF(60,72,85,96) x common factors =1 x 1440 = 1440

LCM(60,72,85,96) = ( 60 × 72 × 85 × 96 ) / 1440

LCM(60,72,85,96) = 35251200 / 1440

LCM(60,72,85,96) = 24480

Lets's calculate GCF of 42,63,66,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1

Therefore the LCM of Fractions 60/42,72/63,85/66,96/86 is 24480

**Factors of 42**

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

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

**Factors of 63**

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

**Factors of 66**

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

**Factors of 86**

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

**Greatest Common Factor**

We found the factors 42,63,66,86 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 42,63,66,86 ** 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 60/42, 72/63, 85/66, 96/86?

Answer: LCM of Numerators as per given numbers 60/42, 72/63, 85/66, 96/86 is

LCM of Numerators i.e. for 60,72,85,96 is 24480

GCF of denominators i.e. for 42,63,66,86 is 1.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 60/42, 72/63, 85/66, 96/86 is 24480.