Least Common Multiple of 1009/279, 6551/2067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1009/279, 6551/2067 quickly i.e. 6609959/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1009/279, 6551/2067 is 6609959/3.

LCM(1009/279, 6551/2067) = 6609959/3

LCM of 1009/279, 6551/2067

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 1009/279,6551/2067

Given numbers are 1009/279,6551/2067

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 1009,6551

Least Common Multiple of Numerators i.e. LCM of 1009,6551 is 6609959.

GCF of Denominators means GCF of 279,2067 as per the given fractions.

GCF of 279,2067 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1009,6551

LCM of Fractions 1009/279,6551/2067 is 6609959/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 6609959

Least Common Multiple of 1009,6551 with GCF Formula

Least Common Multiple of 1009,6551 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 1009,6551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1009,6551) = 1

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

GCF(1009,6551) x common factors =1 x 1 = 1

LCM(1009,6551) = ( 1009 × 6551 ) / 1

LCM(1009,6551) = 6609959 / 1

LCM(1009,6551) = 6609959


Lets's calculate GCF of 279,2067

3 279, 2067
93, 689

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6609959/3

Therefore the LCM of Fractions 1009/279,6551/2067 is 6609959/3

Greatest Common Factor of 279,2067 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,2067 By Matching Biggest Common Factor Method

Factors of 279

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

1,3,9,31,93,279

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1,3,13,39,53,159,689,2067

Greatest Common Factor

We found the factors 279,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 279,2067 is 3.


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 1009/279, 6551/2067

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 1009/279, 6551/2067?

Answer: LCM of Numerators as per given numbers 1009/279, 6551/2067 is

LCM of Numerators i.e. for 1009,6551 is 6609959

GCF of denominators i.e. for 279,2067 is 3.

Thus, LCM of Fractions is 6609959/3.Finally, LCM of Fractions for 1009/279, 6551/2067 is 6609959/3.