Least Common Multiple of 282/769, 4162/8326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/769, 4162/8326 quickly i.e. 586842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/769, 4162/8326 is 586842.

LCM(282/769, 4162/8326) = 586842

LCM of 282/769, 4162/8326

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 282/769,4162/8326

Given numbers are 282/769,4162/8326

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 282,4162

Least Common Multiple of Numerators i.e. LCM of 282,4162 is 586842.

GCF of Denominators means GCF of 769,8326 as per the given fractions.

GCF of 769,8326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,4162

LCM of Fractions 282/769,4162/8326 is 586842

2 282, 4162
141, 2081

∴ So the LCM of the given numbers is 2 x 141 x 2081 = 586842

Least Common Multiple of 282,4162 with GCF Formula

Least Common Multiple of 282,4162 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 282,4162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,4162) = 2

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

GCF(282,4162) x common factors =2 x 1 = 2

LCM(282,4162) = ( 282 × 4162 ) / 2

LCM(282,4162) = 1173684 / 2

LCM(282,4162) = 586842


Lets's calculate GCF of 769,8326

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586842/1

Therefore the LCM of Fractions 282/769,4162/8326 is 586842

Greatest Common Factor of 769,8326 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,8326 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1,2,23,46,181,362,4163,8326

Greatest Common Factor

We found the factors 769,8326 . The biggest common factor number is the GCF number.
So the greatest common factor 769,8326 is 1.


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 282/769, 4162/8326

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 282/769, 4162/8326?

Answer: LCM of Numerators as per given numbers 282/769, 4162/8326 is

LCM of Numerators i.e. for 282,4162 is 586842

GCF of denominators i.e. for 769,8326 is 1.

Thus, LCM of Fractions is 586842.Finally, LCM of Fractions for 282/769, 4162/8326 is 586842.