Least Common Multiple of 533/558, 5171/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 533/558, 5171/612 quickly i.e. 2756143/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 533/558, 5171/612 is 2756143/18.

LCM(533/558, 5171/612) = 2756143/18

LCM of 533/558, 5171/612

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 533/558,5171/612

Given numbers are 533/558,5171/612

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 533,5171

Least Common Multiple of Numerators i.e. LCM of 533,5171 is 2756143.

GCF of Denominators means GCF of 558,612 as per the given fractions.

GCF of 558,612 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 533,5171

LCM of Fractions 533/558,5171/612 is 2756143/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 2756143

Least Common Multiple of 533,5171 with GCF Formula

Least Common Multiple of 533,5171 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 533,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,5171) = 1

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

GCF(533,5171) x common factors =1 x 1 = 1

LCM(533,5171) = ( 533 × 5171 ) / 1

LCM(533,5171) = 2756143 / 1

LCM(533,5171) = 2756143


Lets's calculate GCF of 558,612

2 558, 612
3 279, 306
3 93, 102
31, 34

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2756143/18

Therefore the LCM of Fractions 533/558,5171/612 is 2756143/18

Greatest Common Factor of 558,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,612 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 558,612 . The biggest common factor number is the GCF number.
So the greatest common factor 558,612 is 18.


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 533/558, 5171/612

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 533/558, 5171/612?

Answer: LCM of Numerators as per given numbers 533/558, 5171/612 is

LCM of Numerators i.e. for 533,5171 is 2756143

GCF of denominators i.e. for 558,612 is 18.

Thus, LCM of Fractions is 2756143/18.Finally, LCM of Fractions for 533/558, 5171/612 is 2756143/18.