Least Common Multiple of 45/20, 15/84, 67/72, 54/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/20, 15/84, 67/72, 54/794 quickly i.e. 9045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/20, 15/84, 67/72, 54/794 is 9045.

LCM(45/20, 15/84, 67/72, 54/794) = 9045

LCM of 45/20, 15/84, 67/72, 54/794

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 45/20,15/84,67/72,54/794

Given numbers are 45/20,15/84,67/72,54/794

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 45,15,67,54

Least Common Multiple of Numerators i.e. LCM of 45,15,67,54 is 18090.

GCF of Denominators means GCF of 20,84,72,794 as per the given fractions.

GCF of 20,84,72,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,15,67,54

LCM of Fractions 45/20,15/84,67/72,54/794 is 9045

3 45, 15, 67, 54
3 15, 5, 67, 18
5 5, 5, 67, 6
1, 1, 67, 6

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 67 x 6 = 18090

Least Common Multiple of 45,15,67,54 with GCF Formula

Least Common Multiple of 45,15,67,54 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 45,15,67,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,15,67,54) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(45,15,67,54) x common factors =1 x 135 = 135

LCM(45,15,67,54) = ( 45 × 15 × 67 × 54 ) / 135

LCM(45,15,67,54) = 2442150 / 135

LCM(45,15,67,54) = 18090


Lets's calculate GCF of 20,84,72,794

2 20, 84, 72, 794
10, 42, 36, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18090/2

Therefore the LCM of Fractions 45/20,15/84,67/72,54/794 is 9045

Greatest Common Factor of 20,84,72,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,84,72,794 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 20,84,72,794 . The biggest common factor number is the GCF number.
So the greatest common factor 20,84,72,794 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 45/20, 15/84, 67/72, 54/794

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 45/20, 15/84, 67/72, 54/794?

Answer: LCM of Numerators as per given numbers 45/20, 15/84, 67/72, 54/794 is

LCM of Numerators i.e. for 45,15,67,54 is 18090

GCF of denominators i.e. for 20,84,72,794 is 2.

Thus, LCM of Fractions is 9045.Finally, LCM of Fractions for 45/20, 15/84, 67/72, 54/794 is 9045.