Least Common Multiple of 6213/164, 3649/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6213/164, 3649/279 quickly i.e. 22671237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6213/164, 3649/279 is 22671237.

LCM(6213/164, 3649/279) = 22671237

LCM of 6213/164, 3649/279

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 6213/164,3649/279

Given numbers are 6213/164,3649/279

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 6213,3649

Least Common Multiple of Numerators i.e. LCM of 6213,3649 is 22671237.

GCF of Denominators means GCF of 164,279 as per the given fractions.

GCF of 164,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6213,3649

LCM of Fractions 6213/164,3649/279 is 22671237

Given numbers has no common factors except 1. So, there LCM is their product i.e 22671237

Least Common Multiple of 6213,3649 with GCF Formula

Least Common Multiple of 6213,3649 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 6213,3649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6213,3649) = 1

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

GCF(6213,3649) x common factors =1 x 1 = 1

LCM(6213,3649) = ( 6213 × 3649 ) / 1

LCM(6213,3649) = 22671237 / 1

LCM(6213,3649) = 22671237


Lets's calculate GCF of 164,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22671237/1

Therefore the LCM of Fractions 6213/164,3649/279 is 22671237

Greatest Common Factor of 164,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,279 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 164,279 . The biggest common factor number is the GCF number.
So the greatest common factor 164,279 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 6213/164, 3649/279

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 6213/164, 3649/279?

Answer: LCM of Numerators as per given numbers 6213/164, 3649/279 is

LCM of Numerators i.e. for 6213,3649 is 22671237

GCF of denominators i.e. for 164,279 is 1.

Thus, LCM of Fractions is 22671237.Finally, LCM of Fractions for 6213/164, 3649/279 is 22671237.