What are the Factors of 6464640 ?

Factors of 6464640 are . There are integers that are factors of 6464640.

How to Find the LCM of 481, 260, 185, 384, 105 ?

Least Common Multiple of 481, 260, 185, 384, 105 = 6464640 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(481, 260, 185, 384, 105) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 37 = 6464640.

What are the Factors of 6464640 ?

Factors of 6464640 are . There are integers that are factors of 6464640.

How to Find the LCM of 481, 260, 185, 384, 105 ?

Least Common Multiple of 481, 260, 185, 384, 105 = 6464640 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(481, 260, 185, 384, 105) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 37 = 6464640.

LCM of 481, 260, 185, 384, 105

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Find the LCM of 481, 260, 185, 384, 105 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 481, 260, 185, 384, 105. So, keep reading to learn more.

Calculate the LCM of 481,260,185,384,105

Given numbers are 481,260,185,384,105

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 481,260,185,384,105 is 6464640.

Find LCM of 481,260,185,384,105 with Prime Factorization

2	481, 260, 185, 384, 105
2	481, 130, 185, 192, 105
3	481, 65, 185, 96, 105
5	481, 65, 185, 32, 35
13	481, 13, 37, 32, 7
37	37, 1, 37, 32, 7
	1, 1, 1, 32, 7

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 13 x 37 x 1 x 1 x 1 x 32 x 7 = 6464640

Therefore, the lowest common multiple of 481,260,185,384,105 is 6464640.

LCM Formula to Find Lowest Common Multiple of 481,260,185,384,105

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

481 x 260 x 185 x 384 x 105 = 932847552000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

481 : 1, 13, 37, 481

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

185 : 1, 5, 37, 185

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,260,185,384,105, is 1.

Now, the common factors can be found like this.

481:13x 37

260:2x 2x 5x 13

185:5x 37

384:2x 2x 2x 2x 2x 2x 2x 3

105:3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 5x 5x 13x 37 = 144300

Therefore, the value for common factors is 144300.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 932847552000/(1x144300)

LCM = 932847552000/144300

LCM = 6464640

Thus, we can understand that the LCM of 481,260,185,384,105 is 6464640.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 481, 260, 185, 384, 105

1. What is the LCM of 481, 260, 185, 384, 105?

Answer: LCM of 481, 260, 185, 384, 105 is 6464640.

2. How to calculate the LCM of 481, 260, 185, 384, 105?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 481, 260, 185, 384, 105.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.