Least Common Multiple of 8/16, 30/588, 54/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/16, 30/588, 54/918 quickly i.e. 540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/16, 30/588, 54/918 is 540.

LCM(8/16, 30/588, 54/918) = 540

LCM of 8/16, 30/588, 54/918

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 8/16,30/588,54/918

Given numbers are 8/16,30/588,54/918

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 8,30,54

Least Common Multiple of Numerators i.e. LCM of 8,30,54 is 1080.

GCF of Denominators means GCF of 16,588,918 as per the given fractions.

GCF of 16,588,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,30,54

LCM of Fractions 8/16,30/588,54/918 is 540

2 8, 30, 54
3 4, 15, 27
4, 5, 9

∴ So the LCM of the given numbers is 2 x 3 x 4 x 5 x 9 = 1080

Least Common Multiple of 8,30,54 with GCF Formula

Least Common Multiple of 8,30,54 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 8,30,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,30,54) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(8,30,54) x common factors =2 x 6 = 12

LCM(8,30,54) = ( 8 × 30 × 54 ) / 12

LCM(8,30,54) = 12960 / 12

LCM(8,30,54) = 1080


Lets's calculate GCF of 16,588,918

2 16, 588, 918
8, 294, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080/2

Therefore the LCM of Fractions 8/16,30/588,54/918 is 540

Greatest Common Factor of 16,588,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,588,918 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 16,588,918 . The biggest common factor number is the GCF number.
So the greatest common factor 16,588,918 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 8/16, 30/588, 54/918

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 8/16, 30/588, 54/918?

Answer: LCM of Numerators as per given numbers 8/16, 30/588, 54/918 is

LCM of Numerators i.e. for 8,30,54 is 1080

GCF of denominators i.e. for 16,588,918 is 2.

Thus, LCM of Fractions is 540.Finally, LCM of Fractions for 8/16, 30/588, 54/918 is 540.