Least Common Multiple of 3388/542, 7364/5440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3388/542, 7364/5440 quickly i.e. 445522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3388/542, 7364/5440 is 445522.

LCM(3388/542, 7364/5440) = 445522

LCM of 3388/542, 7364/5440

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 3388/542,7364/5440

Given numbers are 3388/542,7364/5440

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 3388,7364

Least Common Multiple of Numerators i.e. LCM of 3388,7364 is 891044.

GCF of Denominators means GCF of 542,5440 as per the given fractions.

GCF of 542,5440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3388,7364

LCM of Fractions 3388/542,7364/5440 is 445522

2 3388, 7364
2 1694, 3682
7 847, 1841
121, 263

∴ So the LCM of the given numbers is 2 x 2 x 7 x 121 x 263 = 891044

Least Common Multiple of 3388,7364 with GCF Formula

Least Common Multiple of 3388,7364 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 3388,7364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3388,7364) = 28

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

GCF(3388,7364) x common factors =28 x 1 = 28

LCM(3388,7364) = ( 3388 × 7364 ) / 28

LCM(3388,7364) = 24949232 / 28

LCM(3388,7364) = 891044


Lets's calculate GCF of 542,5440

2 542, 5440
271, 2720

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891044/2

Therefore the LCM of Fractions 3388/542,7364/5440 is 445522

Greatest Common Factor of 542,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,5440 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 542,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 542,5440 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 3388/542, 7364/5440

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 3388/542, 7364/5440?

Answer: LCM of Numerators as per given numbers 3388/542, 7364/5440 is

LCM of Numerators i.e. for 3388,7364 is 891044

GCF of denominators i.e. for 542,5440 is 2.

Thus, LCM of Fractions is 445522.Finally, LCM of Fractions for 3388/542, 7364/5440 is 445522.