Least Common Multiple of 686/274, 6868/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/274, 6868/288 quickly i.e. 1177862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/274, 6868/288 is 1177862.

LCM(686/274, 6868/288) = 1177862

LCM of 686/274, 6868/288

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 686/274,6868/288

Given numbers are 686/274,6868/288

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 686,6868

Least Common Multiple of Numerators i.e. LCM of 686,6868 is 2355724.

GCF of Denominators means GCF of 274,288 as per the given fractions.

GCF of 274,288 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,6868

LCM of Fractions 686/274,6868/288 is 1177862

2 686, 6868
343, 3434

∴ So the LCM of the given numbers is 2 x 343 x 3434 = 2355724

Least Common Multiple of 686,6868 with GCF Formula

Least Common Multiple of 686,6868 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 686,6868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,6868) = 2

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

GCF(686,6868) x common factors =2 x 1 = 2

LCM(686,6868) = ( 686 × 6868 ) / 2

LCM(686,6868) = 4711448 / 2

LCM(686,6868) = 2355724


Lets's calculate GCF of 274,288

2 274, 288
137, 144

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2355724/2

Therefore the LCM of Fractions 686/274,6868/288 is 1177862

Greatest Common Factor of 274,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,288 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 274,288 . The biggest common factor number is the GCF number.
So the greatest common factor 274,288 is 2.


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 686/274, 6868/288

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 686/274, 6868/288?

Answer: LCM of Numerators as per given numbers 686/274, 6868/288 is

LCM of Numerators i.e. for 686,6868 is 2355724

GCF of denominators i.e. for 274,288 is 2.

Thus, LCM of Fractions is 1177862.Finally, LCM of Fractions for 686/274, 6868/288 is 1177862.