Least Common Multiple of 168/72, 5493/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/72, 5493/609 quickly i.e. 102536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/72, 5493/609 is 102536.

LCM(168/72, 5493/609) = 102536

LCM of 168/72, 5493/609

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 168/72,5493/609

Given numbers are 168/72,5493/609

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 168,5493

Least Common Multiple of Numerators i.e. LCM of 168,5493 is 307608.

GCF of Denominators means GCF of 72,609 as per the given fractions.

GCF of 72,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,5493

LCM of Fractions 168/72,5493/609 is 102536

3 168, 5493
56, 1831

∴ So the LCM of the given numbers is 3 x 56 x 1831 = 307608

Least Common Multiple of 168,5493 with GCF Formula

Least Common Multiple of 168,5493 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 168,5493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,5493) = 3

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

GCF(168,5493) x common factors =3 x 1 = 3

LCM(168,5493) = ( 168 × 5493 ) / 3

LCM(168,5493) = 922824 / 3

LCM(168,5493) = 307608


Lets's calculate GCF of 72,609

3 72, 609
24, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307608/3

Therefore the LCM of Fractions 168/72,5493/609 is 102536

Greatest Common Factor of 72,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,609 By Matching Biggest Common Factor Method

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 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 72,609 . The biggest common factor number is the GCF number.
So the greatest common factor 72,609 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 168/72, 5493/609

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 168/72, 5493/609?

Answer: LCM of Numerators as per given numbers 168/72, 5493/609 is

LCM of Numerators i.e. for 168,5493 is 307608

GCF of denominators i.e. for 72,609 is 3.

Thus, LCM of Fractions is 102536.Finally, LCM of Fractions for 168/72, 5493/609 is 102536.