Least Common Multiple of 484/895, 2049/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 484/895, 2049/820 quickly i.e. 991716/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/895, 2049/820 is 991716/5.

LCM(484/895, 2049/820) = 991716/5

LCM of 484/895, 2049/820

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 484/895,2049/820

Given numbers are 484/895,2049/820

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 484,2049

Least Common Multiple of Numerators i.e. LCM of 484,2049 is 991716.

GCF of Denominators means GCF of 895,820 as per the given fractions.

GCF of 895,820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,2049

LCM of Fractions 484/895,2049/820 is 991716/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 991716

Least Common Multiple of 484,2049 with GCF Formula

Least Common Multiple of 484,2049 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 484,2049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,2049) = 1

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

GCF(484,2049) x common factors =1 x 1 = 1

LCM(484,2049) = ( 484 × 2049 ) / 1

LCM(484,2049) = 991716 / 1

LCM(484,2049) = 991716


Lets's calculate GCF of 895,820

5 895, 820
179, 164

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991716/5

Therefore the LCM of Fractions 484/895,2049/820 is 991716/5

Greatest Common Factor of 895,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,820 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

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 895,820 . The biggest common factor number is the GCF number.
So the greatest common factor 895,820 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 484/895, 2049/820

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 484/895, 2049/820?

Answer: LCM of Numerators as per given numbers 484/895, 2049/820 is

LCM of Numerators i.e. for 484,2049 is 991716

GCF of denominators i.e. for 895,820 is 5.

Thus, LCM of Fractions is 991716/5.Finally, LCM of Fractions for 484/895, 2049/820 is 991716/5.