Least Common Multiple of 809/99, 492/1687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/99, 492/1687 quickly i.e. 398028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/99, 492/1687 is 398028.

LCM(809/99, 492/1687) = 398028

LCM of 809/99, 492/1687

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 809/99,492/1687

Given numbers are 809/99,492/1687

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 809,492

Least Common Multiple of Numerators i.e. LCM of 809,492 is 398028.

GCF of Denominators means GCF of 99,1687 as per the given fractions.

GCF of 99,1687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,492

LCM of Fractions 809/99,492/1687 is 398028

Given numbers has no common factors except 1. So, there LCM is their product i.e 398028

Least Common Multiple of 809,492 with GCF Formula

Least Common Multiple of 809,492 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 809,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,492) = 1

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

GCF(809,492) x common factors =1 x 1 = 1

LCM(809,492) = ( 809 × 492 ) / 1

LCM(809,492) = 398028 / 1

LCM(809,492) = 398028


Lets's calculate GCF of 99,1687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398028/1

Therefore the LCM of Fractions 809/99,492/1687 is 398028

Greatest Common Factor of 99,1687 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,1687 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1,7,241,1687

Greatest Common Factor

We found the factors 99,1687 . The biggest common factor number is the GCF number.
So the greatest common factor 99,1687 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 809/99, 492/1687

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 809/99, 492/1687?

Answer: LCM of Numerators as per given numbers 809/99, 492/1687 is

LCM of Numerators i.e. for 809,492 is 398028

GCF of denominators i.e. for 99,1687 is 1.

Thus, LCM of Fractions is 398028.Finally, LCM of Fractions for 809/99, 492/1687 is 398028.