Least Common Multiple of 504/671, 4781/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 504/671, 4781/565 quickly i.e. 344232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/671, 4781/565 is 344232.

LCM(504/671, 4781/565) = 344232

LCM of 504/671, 4781/565

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 504/671,4781/565

Given numbers are 504/671,4781/565

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 504,4781

Least Common Multiple of Numerators i.e. LCM of 504,4781 is 344232.

GCF of Denominators means GCF of 671,565 as per the given fractions.

GCF of 671,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,4781

LCM of Fractions 504/671,4781/565 is 344232

7 504, 4781
72, 683

∴ So the LCM of the given numbers is 7 x 72 x 683 = 344232

Least Common Multiple of 504,4781 with GCF Formula

Least Common Multiple of 504,4781 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 504,4781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,4781) = 7

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

GCF(504,4781) x common factors =7 x 1 = 7

LCM(504,4781) = ( 504 × 4781 ) / 7

LCM(504,4781) = 2409624 / 7

LCM(504,4781) = 344232


Lets's calculate GCF of 671,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344232/1

Therefore the LCM of Fractions 504/671,4781/565 is 344232

Greatest Common Factor of 671,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,565 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 671,565 . The biggest common factor number is the GCF number.
So the greatest common factor 671,565 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 504/671, 4781/565

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 504/671, 4781/565?

Answer: LCM of Numerators as per given numbers 504/671, 4781/565 is

LCM of Numerators i.e. for 504,4781 is 344232

GCF of denominators i.e. for 671,565 is 1.

Thus, LCM of Fractions is 344232.Finally, LCM of Fractions for 504/671, 4781/565 is 344232.