Least Common Multiple of 544/105, 288/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/105, 288/405 quickly i.e. 4896/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/105, 288/405 is 4896/15.

LCM(544/105, 288/405) = 4896/15

LCM of 544/105, 288/405

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 544/105,288/405

Given numbers are 544/105,288/405

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 544,288

Least Common Multiple of Numerators i.e. LCM of 544,288 is 4896.

GCF of Denominators means GCF of 105,405 as per the given fractions.

GCF of 105,405 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,288

LCM of Fractions 544/105,288/405 is 4896/15

2 544, 288
2 272, 144
2 136, 72
2 68, 36
2 34, 18
17, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 17 x 9 = 4896

Least Common Multiple of 544,288 with GCF Formula

Least Common Multiple of 544,288 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 544,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,288) = 32

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

GCF(544,288) x common factors =32 x 1 = 32

LCM(544,288) = ( 544 × 288 ) / 32

LCM(544,288) = 156672 / 32

LCM(544,288) = 4896


Lets's calculate GCF of 105,405

3 105, 405
5 35, 135
7, 27

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4896/15

Therefore the LCM of Fractions 544/105,288/405 is 4896/15

Greatest Common Factor of 105,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,405 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 105,405 . The biggest common factor number is the GCF number.
So the greatest common factor 105,405 is 15.


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 544/105, 288/405

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 544/105, 288/405?

Answer: LCM of Numerators as per given numbers 544/105, 288/405 is

LCM of Numerators i.e. for 544,288 is 4896

GCF of denominators i.e. for 105,405 is 15.

Thus, LCM of Fractions is 4896/15.Finally, LCM of Fractions for 544/105, 288/405 is 4896/15.