Least Common Multiple of 249/679, 396/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/679, 396/686 quickly i.e. 32868/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/679, 396/686 is 32868/7.

LCM(249/679, 396/686) = 32868/7

LCM of 249/679, 396/686

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 249/679,396/686

Given numbers are 249/679,396/686

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 249,396

Least Common Multiple of Numerators i.e. LCM of 249,396 is 32868.

GCF of Denominators means GCF of 679,686 as per the given fractions.

GCF of 679,686 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,396

LCM of Fractions 249/679,396/686 is 32868/7

3 249, 396
83, 132

∴ So the LCM of the given numbers is 3 x 83 x 132 = 32868

Least Common Multiple of 249,396 with GCF Formula

Least Common Multiple of 249,396 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 249,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,396) = 3

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

GCF(249,396) x common factors =3 x 1 = 3

LCM(249,396) = ( 249 × 396 ) / 3

LCM(249,396) = 98604 / 3

LCM(249,396) = 32868


Lets's calculate GCF of 679,686

7 679, 686
97, 98

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32868/7

Therefore the LCM of Fractions 249/679,396/686 is 32868/7

Greatest Common Factor of 679,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,686 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 679,686 . The biggest common factor number is the GCF number.
So the greatest common factor 679,686 is 7.


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 249/679, 396/686

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 249/679, 396/686?

Answer: LCM of Numerators as per given numbers 249/679, 396/686 is

LCM of Numerators i.e. for 249,396 is 32868

GCF of denominators i.e. for 679,686 is 7.

Thus, LCM of Fractions is 32868/7.Finally, LCM of Fractions for 249/679, 396/686 is 32868/7.