Least Common Multiple of 8036/54, 5740/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8036/54, 5740/446 quickly i.e. 20090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8036/54, 5740/446 is 20090.

LCM(8036/54, 5740/446) = 20090

LCM of 8036/54, 5740/446

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 8036/54,5740/446

Given numbers are 8036/54,5740/446

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 8036,5740

Least Common Multiple of Numerators i.e. LCM of 8036,5740 is 40180.

GCF of Denominators means GCF of 54,446 as per the given fractions.

GCF of 54,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8036,5740

LCM of Fractions 8036/54,5740/446 is 20090

2 8036, 5740
2 4018, 2870
7 2009, 1435
41 287, 205
7, 5

∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 7 x 5 = 40180

Least Common Multiple of 8036,5740 with GCF Formula

Least Common Multiple of 8036,5740 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 8036,5740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8036,5740) = 1148

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

GCF(8036,5740) x common factors =1148 x 1 = 1148

LCM(8036,5740) = ( 8036 × 5740 ) / 1148

LCM(8036,5740) = 46126640 / 1148

LCM(8036,5740) = 40180


Lets's calculate GCF of 54,446

2 54, 446
27, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40180/2

Therefore the LCM of Fractions 8036/54,5740/446 is 20090

Greatest Common Factor of 54,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,446 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 54,446 . The biggest common factor number is the GCF number.
So the greatest common factor 54,446 is 2.


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 8036/54, 5740/446

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 8036/54, 5740/446?

Answer: LCM of Numerators as per given numbers 8036/54, 5740/446 is

LCM of Numerators i.e. for 8036,5740 is 40180

GCF of denominators i.e. for 54,446 is 2.

Thus, LCM of Fractions is 20090.Finally, LCM of Fractions for 8036/54, 5740/446 is 20090.