Least Common Multiple of 8208/44, 2073/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8208/44, 2073/996 quickly i.e. 1417932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8208/44, 2073/996 is 1417932.

LCM(8208/44, 2073/996) = 1417932

LCM of 8208/44, 2073/996

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 8208/44,2073/996

Given numbers are 8208/44,2073/996

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 8208,2073

Least Common Multiple of Numerators i.e. LCM of 8208,2073 is 5671728.

GCF of Denominators means GCF of 44,996 as per the given fractions.

GCF of 44,996 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8208,2073

LCM of Fractions 8208/44,2073/996 is 1417932

3 8208, 2073
2736, 691

∴ So the LCM of the given numbers is 3 x 2736 x 691 = 5671728

Least Common Multiple of 8208,2073 with GCF Formula

Least Common Multiple of 8208,2073 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 8208,2073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8208,2073) = 3

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

GCF(8208,2073) x common factors =3 x 1 = 3

LCM(8208,2073) = ( 8208 × 2073 ) / 3

LCM(8208,2073) = 17015184 / 3

LCM(8208,2073) = 5671728


Lets's calculate GCF of 44,996

2 44, 996
2 22, 498
11, 249

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5671728/4

Therefore the LCM of Fractions 8208/44,2073/996 is 1417932

Greatest Common Factor of 44,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,996 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 44,996 . The biggest common factor number is the GCF number.
So the greatest common factor 44,996 is 4.


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 8208/44, 2073/996

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 8208/44, 2073/996?

Answer: LCM of Numerators as per given numbers 8208/44, 2073/996 is

LCM of Numerators i.e. for 8208,2073 is 5671728

GCF of denominators i.e. for 44,996 is 4.

Thus, LCM of Fractions is 1417932.Finally, LCM of Fractions for 8208/44, 2073/996 is 1417932.