Least Common Multiple of 504/45, 654/4243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/45, 654/4243 quickly i.e. 54936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/45, 654/4243 is 54936.

LCM(504/45, 654/4243) = 54936

LCM of 504/45, 654/4243

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 504/45,654/4243

Given numbers are 504/45,654/4243

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 504,654

Least Common Multiple of Numerators i.e. LCM of 504,654 is 54936.

GCF of Denominators means GCF of 45,4243 as per the given fractions.

GCF of 45,4243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,654

LCM of Fractions 504/45,654/4243 is 54936

2 504, 654
3 252, 327
84, 109

∴ So the LCM of the given numbers is 2 x 3 x 84 x 109 = 54936

Least Common Multiple of 504,654 with GCF Formula

Least Common Multiple of 504,654 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 504,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,654) = 6

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

GCF(504,654) x common factors =6 x 1 = 6

LCM(504,654) = ( 504 × 654 ) / 6

LCM(504,654) = 329616 / 6

LCM(504,654) = 54936


Lets's calculate GCF of 45,4243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54936/1

Therefore the LCM of Fractions 504/45,654/4243 is 54936

Greatest Common Factor of 45,4243 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,4243 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 4243

List of positive integer factors of 4243 that divides 4243 without a remainder.

1,4243

Greatest Common Factor

We found the factors 45,4243 . The biggest common factor number is the GCF number.
So the greatest common factor 45,4243 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 504/45, 654/4243

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 504/45, 654/4243?

Answer: LCM of Numerators as per given numbers 504/45, 654/4243 is

LCM of Numerators i.e. for 504,654 is 54936

GCF of denominators i.e. for 45,4243 is 1.

Thus, LCM of Fractions is 54936.Finally, LCM of Fractions for 504/45, 654/4243 is 54936.