What are the Factors of 7182720 ?

Factors of 7182720 are . There are integers that are factors of 7182720.

How to Find the LCM of 645, 261, 128, 288 ?

Least Common Multiple of 645, 261, 128, 288 = 7182720 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(645, 261, 128, 288) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29 x 43 = 7182720.

What are the Factors of 7182720 ?

Factors of 7182720 are . There are integers that are factors of 7182720.

How to Find the LCM of 645, 261, 128, 288 ?

Least Common Multiple of 645, 261, 128, 288 = 7182720 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(645, 261, 128, 288) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 29 x 43 = 7182720.

LCM of 645, 261, 128, 288

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

Find the LCM of 645, 261, 128, 288 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 645, 261, 128, 288. So, keep reading to learn more.

Calculate the LCM of 645,261,128,288

Given numbers are 645,261,128,288

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

The LCM of 645,261,128,288 is 7182720.

Find LCM of 645,261,128,288 with Prime Factorization

2	645, 261, 128, 288
2	645, 261, 64, 144
2	645, 261, 32, 72
2	645, 261, 16, 36
2	645, 261, 8, 18
3	645, 261, 4, 9
3	215, 87, 4, 3
	215, 29, 4, 1

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 215 x 29 x 4 x 1 = 7182720

Therefore, the lowest common multiple of 645,261,128,288 is 7182720.

LCM Formula to Find Lowest Common Multiple of 645,261,128,288

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.

645 x 261 x 128 x 288 = 6205870080

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

261 : 1, 3, 9, 29, 87, 261

128 : 1, 2, 4, 8, 16, 32, 64, 128

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,261,128,288, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

261:3x 3x 29

128:2x 2x 2x 2x 2x 2x 2

288:2x 2x 2x 2x 2x 3x 3

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 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 6205870080/(1x864)

LCM = 6205870080/864

LCM = 7182720

Thus, we can understand that the LCM of 645,261,128,288 is 7182720.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 645, 261, 128, 288

1. What is the LCM of 645, 261, 128, 288?

Answer: LCM of 645, 261, 128, 288 is 7182720.

2. How to calculate the LCM of 645, 261, 128, 288?

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 645, 261, 128, 288.

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}.