Least Common Multiple of 608/72, 5098/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/72, 5098/806 quickly i.e. 774896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/72, 5098/806 is 774896.

LCM(608/72, 5098/806) = 774896

LCM of 608/72, 5098/806

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 608/72,5098/806

Given numbers are 608/72,5098/806

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 608,5098

Least Common Multiple of Numerators i.e. LCM of 608,5098 is 1549792.

GCF of Denominators means GCF of 72,806 as per the given fractions.

GCF of 72,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,5098

LCM of Fractions 608/72,5098/806 is 774896

2 608, 5098
304, 2549

∴ So the LCM of the given numbers is 2 x 304 x 2549 = 1549792

Least Common Multiple of 608,5098 with GCF Formula

Least Common Multiple of 608,5098 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 608,5098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,5098) = 2

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

GCF(608,5098) x common factors =2 x 1 = 2

LCM(608,5098) = ( 608 × 5098 ) / 2

LCM(608,5098) = 3099584 / 2

LCM(608,5098) = 1549792


Lets's calculate GCF of 72,806

2 72, 806
36, 403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1549792/2

Therefore the LCM of Fractions 608/72,5098/806 is 774896

Greatest Common Factor of 72,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,806 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 72,806 . The biggest common factor number is the GCF number.
So the greatest common factor 72,806 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 608/72, 5098/806

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 608/72, 5098/806?

Answer: LCM of Numerators as per given numbers 608/72, 5098/806 is

LCM of Numerators i.e. for 608,5098 is 1549792

GCF of denominators i.e. for 72,806 is 2.

Thus, LCM of Fractions is 774896.Finally, LCM of Fractions for 608/72, 5098/806 is 774896.