Least Common Multiple of 8255/823, 3676/1835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8255/823, 3676/1835 quickly i.e. 30345380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8255/823, 3676/1835 is 30345380.

LCM(8255/823, 3676/1835) = 30345380

LCM of 8255/823, 3676/1835

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 8255/823,3676/1835

Given numbers are 8255/823,3676/1835

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 8255,3676

Least Common Multiple of Numerators i.e. LCM of 8255,3676 is 30345380.

GCF of Denominators means GCF of 823,1835 as per the given fractions.

GCF of 823,1835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8255,3676

LCM of Fractions 8255/823,3676/1835 is 30345380

Given numbers has no common factors except 1. So, there LCM is their product i.e 30345380

Least Common Multiple of 8255,3676 with GCF Formula

Least Common Multiple of 8255,3676 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 8255,3676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8255,3676) = 1

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

GCF(8255,3676) x common factors =1 x 1 = 1

LCM(8255,3676) = ( 8255 × 3676 ) / 1

LCM(8255,3676) = 30345380 / 1

LCM(8255,3676) = 30345380


Lets's calculate GCF of 823,1835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30345380/1

Therefore the LCM of Fractions 8255/823,3676/1835 is 30345380

Greatest Common Factor of 823,1835 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,1835 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 1835

List of positive integer factors of 1835 that divides 1835 without a remainder.

1,5,367,1835

Greatest Common Factor

We found the factors 823,1835 . The biggest common factor number is the GCF number.
So the greatest common factor 823,1835 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 8255/823, 3676/1835

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 8255/823, 3676/1835?

Answer: LCM of Numerators as per given numbers 8255/823, 3676/1835 is

LCM of Numerators i.e. for 8255,3676 is 30345380

GCF of denominators i.e. for 823,1835 is 1.

Thus, LCM of Fractions is 30345380.Finally, LCM of Fractions for 8255/823, 3676/1835 is 30345380.