Least Common Multiple of 3006/969, 3892/6009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3006/969, 3892/6009 quickly i.e. 1949892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3006/969, 3892/6009 is 1949892.

LCM(3006/969, 3892/6009) = 1949892

LCM of 3006/969, 3892/6009

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 3006/969,3892/6009

Given numbers are 3006/969,3892/6009

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 3006,3892

Least Common Multiple of Numerators i.e. LCM of 3006,3892 is 5849676.

GCF of Denominators means GCF of 969,6009 as per the given fractions.

GCF of 969,6009 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3006,3892

LCM of Fractions 3006/969,3892/6009 is 1949892

2 3006, 3892
1503, 1946

∴ So the LCM of the given numbers is 2 x 1503 x 1946 = 5849676

Least Common Multiple of 3006,3892 with GCF Formula

Least Common Multiple of 3006,3892 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 3006,3892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3006,3892) = 2

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

GCF(3006,3892) x common factors =2 x 1 = 2

LCM(3006,3892) = ( 3006 × 3892 ) / 2

LCM(3006,3892) = 11699352 / 2

LCM(3006,3892) = 5849676


Lets's calculate GCF of 969,6009

3 969, 6009
323, 2003

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5849676/3

Therefore the LCM of Fractions 3006/969,3892/6009 is 1949892

Greatest Common Factor of 969,6009 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,6009 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1,3,2003,6009

Greatest Common Factor

We found the factors 969,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 969,6009 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 3006/969, 3892/6009

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 3006/969, 3892/6009?

Answer: LCM of Numerators as per given numbers 3006/969, 3892/6009 is

LCM of Numerators i.e. for 3006,3892 is 5849676

GCF of denominators i.e. for 969,6009 is 3.

Thus, LCM of Fractions is 1949892.Finally, LCM of Fractions for 3006/969, 3892/6009 is 1949892.