Least Common Multiple of 679/69, 508/6336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/69, 508/6336 quickly i.e. 344932/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/69, 508/6336 is 344932/3.

LCM(679/69, 508/6336) = 344932/3

LCM of 679/69, 508/6336

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 679/69,508/6336

Given numbers are 679/69,508/6336

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 679,508

Least Common Multiple of Numerators i.e. LCM of 679,508 is 344932.

GCF of Denominators means GCF of 69,6336 as per the given fractions.

GCF of 69,6336 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,508

LCM of Fractions 679/69,508/6336 is 344932/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 344932

Least Common Multiple of 679,508 with GCF Formula

Least Common Multiple of 679,508 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 679,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,508) = 1

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

GCF(679,508) x common factors =1 x 1 = 1

LCM(679,508) = ( 679 × 508 ) / 1

LCM(679,508) = 344932 / 1

LCM(679,508) = 344932


Lets's calculate GCF of 69,6336

3 69, 6336
23, 2112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344932/3

Therefore the LCM of Fractions 679/69,508/6336 is 344932/3

Greatest Common Factor of 69,6336 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,6336 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 6336

List of positive integer factors of 6336 that divides 6336 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336

Greatest Common Factor

We found the factors 69,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 69,6336 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 679/69, 508/6336

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 679/69, 508/6336?

Answer: LCM of Numerators as per given numbers 679/69, 508/6336 is

LCM of Numerators i.e. for 679,508 is 344932

GCF of denominators i.e. for 69,6336 is 3.

Thus, LCM of Fractions is 344932/3.Finally, LCM of Fractions for 679/69, 508/6336 is 344932/3.