Least Common Multiple of 6682/282, 8768/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6682/282, 8768/722 quickly i.e. 14646944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6682/282, 8768/722 is 14646944.

LCM(6682/282, 8768/722) = 14646944

LCM of 6682/282, 8768/722

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 6682/282,8768/722

Given numbers are 6682/282,8768/722

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 6682,8768

Least Common Multiple of Numerators i.e. LCM of 6682,8768 is 29293888.

GCF of Denominators means GCF of 282,722 as per the given fractions.

GCF of 282,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6682,8768

LCM of Fractions 6682/282,8768/722 is 14646944

2 6682, 8768
3341, 4384

∴ So the LCM of the given numbers is 2 x 3341 x 4384 = 29293888

Least Common Multiple of 6682,8768 with GCF Formula

Least Common Multiple of 6682,8768 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 6682,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6682,8768) = 2

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

GCF(6682,8768) x common factors =2 x 1 = 2

LCM(6682,8768) = ( 6682 × 8768 ) / 2

LCM(6682,8768) = 58587776 / 2

LCM(6682,8768) = 29293888


Lets's calculate GCF of 282,722

2 282, 722
141, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29293888/2

Therefore the LCM of Fractions 6682/282,8768/722 is 14646944

Greatest Common Factor of 282,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,722 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 282,722 . The biggest common factor number is the GCF number.
So the greatest common factor 282,722 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 6682/282, 8768/722

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 6682/282, 8768/722?

Answer: LCM of Numerators as per given numbers 6682/282, 8768/722 is

LCM of Numerators i.e. for 6682,8768 is 29293888

GCF of denominators i.e. for 282,722 is 2.

Thus, LCM of Fractions is 14646944.Finally, LCM of Fractions for 6682/282, 8768/722 is 14646944.