Know Least Common Multiple of fractions 12/21, 36/35, 160/70 quickly i.e. 1440/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/21, 36/35, 160/70 is **1440/7**.

LCM(12/21, 36/35, 160/70) = 1440/7

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

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

Given numbers are 12/21,36/35,160/70

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 12,36,160

Least Common Multiple of Numerators i.e. LCM of 12,36,160 is 1440.

GCF of Denominators means GCF of 21,35,70 as per the given fractions.

GCF of 21,35,70 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,36,160

2 | 12, 36, 160 |

2 | 6, 18, 80 |

3 | 3, 9, 40 |

1, 3, 40 |

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 3 x 40 = 1440

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 12,36,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,36,160) = 4

common factors(in case of two or more numbers have common factors) = 12

GCF(12,36,160) x common factors =4 x 12 = 48

LCM(12,36,160) = ( 12 × 36 × 160 ) / 48

LCM(12,36,160) = 69120 / 48

LCM(12,36,160) = 1440

Lets's calculate GCF of 21,35,70

7 | 21, 35, 70 |

3, 5, 10 |

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/7

Therefore the LCM of Fractions 12/21,36/35,160/70 is 1440/7

**Factors of 21**

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

**Factors of 35**

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

**Factors of 70**

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

**Greatest Common Factor**

We found the factors 21,35,70 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 21,35,70 ** is **7**.

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 12/21, 36/35, 160/70?

Answer: LCM of Numerators as per given numbers 12/21, 36/35, 160/70 is

LCM of Numerators i.e. for 12,36,160 is 1440

GCF of denominators i.e. for 21,35,70 is 7.

Thus, LCM of Fractions is 1440/7.Finally, LCM of Fractions for 12/21, 36/35, 160/70 is 1440/7.