# Least Common Multiple of 20/36, 30/42, 45/98

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

## LCM of 20/36, 30/42, 45/98

Enter two or more fractions separated by "commas"

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

LCM of:

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

### Least Common Multiple (LCM) of 20,30,45 By Common Division

 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

Least Common Multiple of 20,30,45 with GCF Formula

### Least Common Multiple of 20,30,45 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) 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

### Greatest Common Factor (GCF) of 36,42,98 By Common Division

 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

Greatest Common Factor of 36,42,98 By Matching Biggest Common Factor Method

### Greatest Common Factor of 36,42,98 By Matching Biggest Common Factor Method

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.

### LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

### Frequently Asked Questions on Fractional LCM of 20/36, 30/42, 45/98

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.