Least Common Multiple of 504/596, 8029/2949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/596, 8029/2949 quickly i.e. 578088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/596, 8029/2949 is 578088.

LCM(504/596, 8029/2949) = 578088

LCM of 504/596, 8029/2949

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 504/596,8029/2949

Given numbers are 504/596,8029/2949

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 504,8029

Least Common Multiple of Numerators i.e. LCM of 504,8029 is 578088.

GCF of Denominators means GCF of 596,2949 as per the given fractions.

GCF of 596,2949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,8029

LCM of Fractions 504/596,8029/2949 is 578088

7 504, 8029
72, 1147

∴ So the LCM of the given numbers is 7 x 72 x 1147 = 578088

Least Common Multiple of 504,8029 with GCF Formula

Least Common Multiple of 504,8029 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 504,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,8029) = 7

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

GCF(504,8029) x common factors =7 x 1 = 7

LCM(504,8029) = ( 504 × 8029 ) / 7

LCM(504,8029) = 4046616 / 7

LCM(504,8029) = 578088


Lets's calculate GCF of 596,2949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578088/1

Therefore the LCM of Fractions 504/596,8029/2949 is 578088

Greatest Common Factor of 596,2949 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,2949 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1,3,983,2949

Greatest Common Factor

We found the factors 596,2949 . The biggest common factor number is the GCF number.
So the greatest common factor 596,2949 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 504/596, 8029/2949

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 504/596, 8029/2949?

Answer: LCM of Numerators as per given numbers 504/596, 8029/2949 is

LCM of Numerators i.e. for 504,8029 is 578088

GCF of denominators i.e. for 596,2949 is 1.

Thus, LCM of Fractions is 578088.Finally, LCM of Fractions for 504/596, 8029/2949 is 578088.