Least Common Multiple of 221/16, 6129/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/16, 6129/649 quickly i.e. 1354509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/16, 6129/649 is 1354509.

LCM(221/16, 6129/649) = 1354509

LCM of 221/16, 6129/649

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 221/16,6129/649

Given numbers are 221/16,6129/649

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 221,6129

Least Common Multiple of Numerators i.e. LCM of 221,6129 is 1354509.

GCF of Denominators means GCF of 16,649 as per the given fractions.

GCF of 16,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,6129

LCM of Fractions 221/16,6129/649 is 1354509

Given numbers has no common factors except 1. So, there LCM is their product i.e 1354509

Least Common Multiple of 221,6129 with GCF Formula

Least Common Multiple of 221,6129 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 221,6129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,6129) = 1

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

GCF(221,6129) x common factors =1 x 1 = 1

LCM(221,6129) = ( 221 × 6129 ) / 1

LCM(221,6129) = 1354509 / 1

LCM(221,6129) = 1354509


Lets's calculate GCF of 16,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1354509/1

Therefore the LCM of Fractions 221/16,6129/649 is 1354509

Greatest Common Factor of 16,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,649 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 16,649 . The biggest common factor number is the GCF number.
So the greatest common factor 16,649 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 221/16, 6129/649

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 221/16, 6129/649?

Answer: LCM of Numerators as per given numbers 221/16, 6129/649 is

LCM of Numerators i.e. for 221,6129 is 1354509

GCF of denominators i.e. for 16,649 is 1.

Thus, LCM of Fractions is 1354509.Finally, LCM of Fractions for 221/16, 6129/649 is 1354509.