Least Common Multiple of 524/383, 6003/5642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/383, 6003/5642 quickly i.e. 3145572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/383, 6003/5642 is 3145572.

LCM(524/383, 6003/5642) = 3145572

LCM of 524/383, 6003/5642

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 524/383,6003/5642

Given numbers are 524/383,6003/5642

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 524,6003

Least Common Multiple of Numerators i.e. LCM of 524,6003 is 3145572.

GCF of Denominators means GCF of 383,5642 as per the given fractions.

GCF of 383,5642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,6003

LCM of Fractions 524/383,6003/5642 is 3145572

Given numbers has no common factors except 1. So, there LCM is their product i.e 3145572

Least Common Multiple of 524,6003 with GCF Formula

Least Common Multiple of 524,6003 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 524,6003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,6003) = 1

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

GCF(524,6003) x common factors =1 x 1 = 1

LCM(524,6003) = ( 524 × 6003 ) / 1

LCM(524,6003) = 3145572 / 1

LCM(524,6003) = 3145572


Lets's calculate GCF of 383,5642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3145572/1

Therefore the LCM of Fractions 524/383,6003/5642 is 3145572

Greatest Common Factor of 383,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,5642 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 383,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 383,5642 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 524/383, 6003/5642

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 524/383, 6003/5642?

Answer: LCM of Numerators as per given numbers 524/383, 6003/5642 is

LCM of Numerators i.e. for 524,6003 is 3145572

GCF of denominators i.e. for 383,5642 is 1.

Thus, LCM of Fractions is 3145572.Finally, LCM of Fractions for 524/383, 6003/5642 is 3145572.