Know Least Common Multiple of fractions 20/36, 30/42, 45/98 quickly i.e. 90 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/36, 30/42, 45/98 is **90**.

LCM(20/36, 30/42, 45/98) = 90

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

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

Given numbers are 20/36,30/42,45/98

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 20,30,45

Least Common Multiple of Numerators i.e. LCM of 20,30,45 is 180.

GCF of Denominators means GCF of 36,42,98 as per the given fractions.

GCF of 36,42,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,30,45

2 | 20, 30, 45 |

3 | 10, 15, 45 |

5 | 10, 5, 15 |

2, 1, 3 |

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 1 x 3 = 180

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 20,30,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,30,45) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(20,30,45) x common factors =5 x 30 = 150

LCM(20,30,45) = ( 20 × 30 × 45 ) / 150

LCM(20,30,45) = 27000 / 150

LCM(20,30,45) = 180

Lets's calculate GCF of 36,42,98

2 | 36, 42, 98 |

18, 21, 49 |

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/2

Therefore the LCM of Fractions 20/36,30/42,45/98 is 90

**Factors of 36**

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

**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 98**

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

**Greatest Common Factor**

We found the factors 36,42,98 . The biggest common factor number is the **GCF** number.

So the **greatest common factor 36,42,98 ** is **2**.

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 20/36, 30/42, 45/98?

Answer: LCM of Numerators as per given numbers 20/36, 30/42, 45/98 is

LCM of Numerators i.e. for 20,30,45 is 180

GCF of denominators i.e. for 36,42,98 is 2.

Thus, LCM of Fractions is 90.Finally, LCM of Fractions for 20/36, 30/42, 45/98 is 90.