Least Common Multiple of 558/27, 516/1916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/27, 516/1916 quickly i.e. 47988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/27, 516/1916 is 47988.

LCM(558/27, 516/1916) = 47988

LCM of 558/27, 516/1916

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 558/27,516/1916

Given numbers are 558/27,516/1916

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 558,516

Least Common Multiple of Numerators i.e. LCM of 558,516 is 47988.

GCF of Denominators means GCF of 27,1916 as per the given fractions.

GCF of 27,1916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,516

LCM of Fractions 558/27,516/1916 is 47988

2 558, 516
3 279, 258
93, 86

∴ So the LCM of the given numbers is 2 x 3 x 93 x 86 = 47988

Least Common Multiple of 558,516 with GCF Formula

Least Common Multiple of 558,516 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 558,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,516) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(558,516) x common factors =6 x 1 = 6

LCM(558,516) = ( 558 × 516 ) / 6

LCM(558,516) = 287928 / 6

LCM(558,516) = 47988


Lets's calculate GCF of 27,1916

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47988/1

Therefore the LCM of Fractions 558/27,516/1916 is 47988

Greatest Common Factor of 27,1916 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,1916 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 1916

List of positive integer factors of 1916 that divides 1916 without a remainder.

1,2,4,479,958,1916

Greatest Common Factor

We found the factors 27,1916 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1916 is 1.


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 558/27, 516/1916

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 558/27, 516/1916?

Answer: LCM of Numerators as per given numbers 558/27, 516/1916 is

LCM of Numerators i.e. for 558,516 is 47988

GCF of denominators i.e. for 27,1916 is 1.

Thus, LCM of Fractions is 47988.Finally, LCM of Fractions for 558/27, 516/1916 is 47988.