Least Common Multiple of 6003/231, 9687/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6003/231, 9687/532 quickly i.e. 19383687/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6003/231, 9687/532 is 19383687/7.

LCM(6003/231, 9687/532) = 19383687/7

LCM of 6003/231, 9687/532

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 6003/231,9687/532

Given numbers are 6003/231,9687/532

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 6003,9687

Least Common Multiple of Numerators i.e. LCM of 6003,9687 is 19383687.

GCF of Denominators means GCF of 231,532 as per the given fractions.

GCF of 231,532 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6003,9687

LCM of Fractions 6003/231,9687/532 is 19383687/7

3 6003, 9687
2001, 3229

∴ So the LCM of the given numbers is 3 x 2001 x 3229 = 19383687

Least Common Multiple of 6003,9687 with GCF Formula

Least Common Multiple of 6003,9687 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 6003,9687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6003,9687) = 3

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

GCF(6003,9687) x common factors =3 x 1 = 3

LCM(6003,9687) = ( 6003 × 9687 ) / 3

LCM(6003,9687) = 58151061 / 3

LCM(6003,9687) = 19383687


Lets's calculate GCF of 231,532

7 231, 532
33, 76

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19383687/7

Therefore the LCM of Fractions 6003/231,9687/532 is 19383687/7

Greatest Common Factor of 231,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,532 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 231,532 . The biggest common factor number is the GCF number.
So the greatest common factor 231,532 is 7.


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 6003/231, 9687/532

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 6003/231, 9687/532?

Answer: LCM of Numerators as per given numbers 6003/231, 9687/532 is

LCM of Numerators i.e. for 6003,9687 is 19383687

GCF of denominators i.e. for 231,532 is 7.

Thus, LCM of Fractions is 19383687/7.Finally, LCM of Fractions for 6003/231, 9687/532 is 19383687/7.