Least Common Multiple of 8369/187, 6454/2688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8369/187, 6454/2688 quickly i.e. 54013526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8369/187, 6454/2688 is 54013526.

LCM(8369/187, 6454/2688) = 54013526

LCM of 8369/187, 6454/2688

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 8369/187,6454/2688

Given numbers are 8369/187,6454/2688

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 8369,6454

Least Common Multiple of Numerators i.e. LCM of 8369,6454 is 54013526.

GCF of Denominators means GCF of 187,2688 as per the given fractions.

GCF of 187,2688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8369,6454

LCM of Fractions 8369/187,6454/2688 is 54013526

Given numbers has no common factors except 1. So, there LCM is their product i.e 54013526

Least Common Multiple of 8369,6454 with GCF Formula

Least Common Multiple of 8369,6454 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 8369,6454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8369,6454) = 1

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

GCF(8369,6454) x common factors =1 x 1 = 1

LCM(8369,6454) = ( 8369 × 6454 ) / 1

LCM(8369,6454) = 54013526 / 1

LCM(8369,6454) = 54013526


Lets's calculate GCF of 187,2688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54013526/1

Therefore the LCM of Fractions 8369/187,6454/2688 is 54013526

Greatest Common Factor of 187,2688 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,2688 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688

Greatest Common Factor

We found the factors 187,2688 . The biggest common factor number is the GCF number.
So the greatest common factor 187,2688 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 8369/187, 6454/2688

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 8369/187, 6454/2688?

Answer: LCM of Numerators as per given numbers 8369/187, 6454/2688 is

LCM of Numerators i.e. for 8369,6454 is 54013526

GCF of denominators i.e. for 187,2688 is 1.

Thus, LCM of Fractions is 54013526.Finally, LCM of Fractions for 8369/187, 6454/2688 is 54013526.