Least Common Multiple of 6231/176, 6382/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6231/176, 6382/538 quickly i.e. 19883121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6231/176, 6382/538 is 19883121.

LCM(6231/176, 6382/538) = 19883121

LCM of 6231/176, 6382/538

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 6231/176,6382/538

Given numbers are 6231/176,6382/538

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 6231,6382

Least Common Multiple of Numerators i.e. LCM of 6231,6382 is 39766242.

GCF of Denominators means GCF of 176,538 as per the given fractions.

GCF of 176,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6231,6382

LCM of Fractions 6231/176,6382/538 is 19883121

Given numbers has no common factors except 1. So, there LCM is their product i.e 39766242

Least Common Multiple of 6231,6382 with GCF Formula

Least Common Multiple of 6231,6382 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 6231,6382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6231,6382) = 1

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

GCF(6231,6382) x common factors =1 x 1 = 1

LCM(6231,6382) = ( 6231 × 6382 ) / 1

LCM(6231,6382) = 39766242 / 1

LCM(6231,6382) = 39766242


Lets's calculate GCF of 176,538

2 176, 538
88, 269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39766242/2

Therefore the LCM of Fractions 6231/176,6382/538 is 19883121

Greatest Common Factor of 176,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,538 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 176,538 . The biggest common factor number is the GCF number.
So the greatest common factor 176,538 is 2.


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 6231/176, 6382/538

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 6231/176, 6382/538?

Answer: LCM of Numerators as per given numbers 6231/176, 6382/538 is

LCM of Numerators i.e. for 6231,6382 is 39766242

GCF of denominators i.e. for 176,538 is 2.

Thus, LCM of Fractions is 19883121.Finally, LCM of Fractions for 6231/176, 6382/538 is 19883121.