Know Least Common Multiple of fractions 70/108, 98/120, 147/144 quickly i.e. 1470/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/108, 98/120, 147/144 is **1470/12**.

LCM(70/108, 98/120, 147/144) = 1470/12

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

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

Given numbers are 70/108,98/120,147/144

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 70,98,147

Least Common Multiple of Numerators i.e. LCM of 70,98,147 is 1470.

GCF of Denominators means GCF of 108,120,144 as per the given fractions.

GCF of 108,120,144 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,98,147

2 | 70, 98, 147 |

7 | 35, 49, 147 |

7 | 5, 7, 21 |

5, 1, 3 |

∴ So the LCM of the given numbers is 2 x 7 x 7 x 5 x 1 x 3 = 1470

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 70,98,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,98,147) = 7

common factors(in case of two or more numbers have common factors) = 98

GCF(70,98,147) x common factors =7 x 98 = 686

LCM(70,98,147) = ( 70 × 98 × 147 ) / 686

LCM(70,98,147) = 1008420 / 686

LCM(70,98,147) = 1470

Lets's calculate GCF of 108,120,144

2 | 108, 120, 144 |

2 | 54, 60, 72 |

3 | 27, 30, 36 |

9, 10, 12 |

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1470/12

Therefore the LCM of Fractions 70/108,98/120,147/144 is 1470/12

**Factors of 108**

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

**Factors of 120**

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

**Factors of 144**

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

**Greatest Common Factor**

We found the factors 108,120,144 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 108,120,144 ** is **12**.

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 70/108, 98/120, 147/144?

Answer: LCM of Numerators as per given numbers 70/108, 98/120, 147/144 is

LCM of Numerators i.e. for 70,98,147 is 1470

GCF of denominators i.e. for 108,120,144 is 12.

Thus, LCM of Fractions is 1470/12.Finally, LCM of Fractions for 70/108, 98/120, 147/144 is 1470/12.