Least Common Multiple of 54/45, 58/33, 142/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/45, 58/33, 142/720 quickly i.e. 37062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/45, 58/33, 142/720 is 37062.

LCM(54/45, 58/33, 142/720) = 37062

LCM of 54/45, 58/33, 142/720

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 54/45,58/33,142/720

Given numbers are 54/45,58/33,142/720

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 54,58,142

Least Common Multiple of Numerators i.e. LCM of 54,58,142 is 111186.

GCF of Denominators means GCF of 45,33,720 as per the given fractions.

GCF of 45,33,720 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,58,142

LCM of Fractions 54/45,58/33,142/720 is 37062

2 54, 58, 142
27, 29, 71

∴ So the LCM of the given numbers is 2 x 27 x 29 x 71 = 111186

Least Common Multiple of 54,58,142 with GCF Formula

Least Common Multiple of 54,58,142 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 54,58,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,58,142) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(54,58,142) x common factors =2 x 2 = 4

LCM(54,58,142) = ( 54 × 58 × 142 ) / 4

LCM(54,58,142) = 444744 / 4

LCM(54,58,142) = 111186


Lets's calculate GCF of 45,33,720

3 45, 33, 720
15, 11, 240

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111186/3

Therefore the LCM of Fractions 54/45,58/33,142/720 is 37062

Greatest Common Factor of 45,33,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,33,720 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 45,33,720 . The biggest common factor number is the GCF number.
So the greatest common factor 45,33,720 is 3.


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 54/45, 58/33, 142/720

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 54/45, 58/33, 142/720?

Answer: LCM of Numerators as per given numbers 54/45, 58/33, 142/720 is

LCM of Numerators i.e. for 54,58,142 is 111186

GCF of denominators i.e. for 45,33,720 is 3.

Thus, LCM of Fractions is 37062.Finally, LCM of Fractions for 54/45, 58/33, 142/720 is 37062.