Least Common Multiple of 189/112, 6927/6491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/112, 6927/6491 quickly i.e. 436401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/112, 6927/6491 is 436401.

LCM(189/112, 6927/6491) = 436401

LCM of 189/112, 6927/6491

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 189/112,6927/6491

Given numbers are 189/112,6927/6491

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 189,6927

Least Common Multiple of Numerators i.e. LCM of 189,6927 is 436401.

GCF of Denominators means GCF of 112,6491 as per the given fractions.

GCF of 112,6491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,6927

LCM of Fractions 189/112,6927/6491 is 436401

3 189, 6927
63, 2309

∴ So the LCM of the given numbers is 3 x 63 x 2309 = 436401

Least Common Multiple of 189,6927 with GCF Formula

Least Common Multiple of 189,6927 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 189,6927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,6927) = 3

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

GCF(189,6927) x common factors =3 x 1 = 3

LCM(189,6927) = ( 189 × 6927 ) / 3

LCM(189,6927) = 1309203 / 3

LCM(189,6927) = 436401


Lets's calculate GCF of 112,6491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436401/1

Therefore the LCM of Fractions 189/112,6927/6491 is 436401

Greatest Common Factor of 112,6491 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,6491 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 6491

List of positive integer factors of 6491 that divides 6491 without a remainder.

1,6491

Greatest Common Factor

We found the factors 112,6491 . The biggest common factor number is the GCF number.
So the greatest common factor 112,6491 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 189/112, 6927/6491

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 189/112, 6927/6491?

Answer: LCM of Numerators as per given numbers 189/112, 6927/6491 is

LCM of Numerators i.e. for 189,6927 is 436401

GCF of denominators i.e. for 112,6491 is 1.

Thus, LCM of Fractions is 436401.Finally, LCM of Fractions for 189/112, 6927/6491 is 436401.