Least Common Multiple of 824/80, 4020/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/80, 4020/820 quickly i.e. 41406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/80, 4020/820 is 41406.

LCM(824/80, 4020/820) = 41406

LCM of 824/80, 4020/820

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 824/80,4020/820

Given numbers are 824/80,4020/820

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 824,4020

Least Common Multiple of Numerators i.e. LCM of 824,4020 is 828120.

GCF of Denominators means GCF of 80,820 as per the given fractions.

GCF of 80,820 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,4020

LCM of Fractions 824/80,4020/820 is 41406

2 824, 4020
2 412, 2010
206, 1005

∴ So the LCM of the given numbers is 2 x 2 x 206 x 1005 = 828120

Least Common Multiple of 824,4020 with GCF Formula

Least Common Multiple of 824,4020 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 824,4020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,4020) = 4

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

GCF(824,4020) x common factors =4 x 1 = 4

LCM(824,4020) = ( 824 × 4020 ) / 4

LCM(824,4020) = 3312480 / 4

LCM(824,4020) = 828120


Lets's calculate GCF of 80,820

2 80, 820
2 40, 410
5 20, 205
4, 41

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828120/20

Therefore the LCM of Fractions 824/80,4020/820 is 41406

Greatest Common Factor of 80,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,820 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 80,820 . The biggest common factor number is the GCF number.
So the greatest common factor 80,820 is 20.


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 824/80, 4020/820

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 824/80, 4020/820?

Answer: LCM of Numerators as per given numbers 824/80, 4020/820 is

LCM of Numerators i.e. for 824,4020 is 828120

GCF of denominators i.e. for 80,820 is 20.

Thus, LCM of Fractions is 41406.Finally, LCM of Fractions for 824/80, 4020/820 is 41406.