Least Common Multiple of 298/586, 5996/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/586, 5996/808 quickly i.e. 446702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/586, 5996/808 is 446702.

LCM(298/586, 5996/808) = 446702

LCM of 298/586, 5996/808

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 298/586,5996/808

Given numbers are 298/586,5996/808

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 298,5996

Least Common Multiple of Numerators i.e. LCM of 298,5996 is 893404.

GCF of Denominators means GCF of 586,808 as per the given fractions.

GCF of 586,808 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,5996

LCM of Fractions 298/586,5996/808 is 446702

2 298, 5996
149, 2998

∴ So the LCM of the given numbers is 2 x 149 x 2998 = 893404

Least Common Multiple of 298,5996 with GCF Formula

Least Common Multiple of 298,5996 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 298,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,5996) = 2

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

GCF(298,5996) x common factors =2 x 1 = 2

LCM(298,5996) = ( 298 × 5996 ) / 2

LCM(298,5996) = 1786808 / 2

LCM(298,5996) = 893404


Lets's calculate GCF of 586,808

2 586, 808
293, 404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 893404/2

Therefore the LCM of Fractions 298/586,5996/808 is 446702

Greatest Common Factor of 586,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,808 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 586,808 . The biggest common factor number is the GCF number.
So the greatest common factor 586,808 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 298/586, 5996/808

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 298/586, 5996/808?

Answer: LCM of Numerators as per given numbers 298/586, 5996/808 is

LCM of Numerators i.e. for 298,5996 is 893404

GCF of denominators i.e. for 586,808 is 2.

Thus, LCM of Fractions is 446702.Finally, LCM of Fractions for 298/586, 5996/808 is 446702.