Least Common Multiple of 6009/680, 6339/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6009/680, 6339/610 quickly i.e. 12697017/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6009/680, 6339/610 is 12697017/10.

LCM(6009/680, 6339/610) = 12697017/10

LCM of 6009/680, 6339/610

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 6009/680,6339/610

Given numbers are 6009/680,6339/610

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 6009,6339

Least Common Multiple of Numerators i.e. LCM of 6009,6339 is 12697017.

GCF of Denominators means GCF of 680,610 as per the given fractions.

GCF of 680,610 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6009,6339

LCM of Fractions 6009/680,6339/610 is 12697017/10

3 6009, 6339
2003, 2113

∴ So the LCM of the given numbers is 3 x 2003 x 2113 = 12697017

Least Common Multiple of 6009,6339 with GCF Formula

Least Common Multiple of 6009,6339 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 6009,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6009,6339) = 3

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

GCF(6009,6339) x common factors =3 x 1 = 3

LCM(6009,6339) = ( 6009 × 6339 ) / 3

LCM(6009,6339) = 38091051 / 3

LCM(6009,6339) = 12697017


Lets's calculate GCF of 680,610

2 680, 610
5 340, 305
68, 61

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12697017/10

Therefore the LCM of Fractions 6009/680,6339/610 is 12697017/10

Greatest Common Factor of 680,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,610 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 680,610 . The biggest common factor number is the GCF number.
So the greatest common factor 680,610 is 10.


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 6009/680, 6339/610

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 6009/680, 6339/610?

Answer: LCM of Numerators as per given numbers 6009/680, 6339/610 is

LCM of Numerators i.e. for 6009,6339 is 12697017

GCF of denominators i.e. for 680,610 is 10.

Thus, LCM of Fractions is 12697017/10.Finally, LCM of Fractions for 6009/680, 6339/610 is 12697017/10.