What are the Factors of 10029572280 ?

Factors of 10029572280 are . There are integers that are factors of 10029572280.

How to Find the LCM of 460, 243, 493, 728 ?

Least Common Multiple of 460, 243, 493, 728 = 10029572280 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(460, 243, 493, 728) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 23 x 29 = 10029572280.

What are the Factors of 10029572280 ?

Factors of 10029572280 are . There are integers that are factors of 10029572280.

How to Find the LCM of 460, 243, 493, 728 ?

Least Common Multiple of 460, 243, 493, 728 = 10029572280 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(460, 243, 493, 728) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 23 x 29 = 10029572280.

LCM of 460, 243, 493, 728

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

Find the LCM of 460, 243, 493, 728 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 460, 243, 493, 728. So, keep reading to learn more.

Calculate the LCM of 460,243,493,728

Given numbers are 460,243,493,728

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

The LCM of 460,243,493,728 is 10029572280.

Find LCM of 460,243,493,728 with Prime Factorization

2	460, 243, 493, 728
2	230, 243, 493, 364
	115, 243, 493, 182

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

2 x 2 x 115 x 243 x 493 x 182 = 10029572280

Therefore, the lowest common multiple of 460,243,493,728 is 10029572280.

LCM Formula to Find Lowest Common Multiple of 460,243,493,728

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.

460 x 243 x 493 x 728 = 40118289120

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

243 : 1, 3, 9, 27, 81, 243

493 : 1, 17, 29, 493

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,243,493,728, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

243:3x 3x 3x 3x 3

493:17x 29

728:2x 2x 2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 40118289120/(1x4)

LCM = 40118289120/4

LCM = 10029572280

Thus, we can understand that the LCM of 460,243,493,728 is 10029572280.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 460, 243, 493, 728

1. What is the LCM of 460, 243, 493, 728?

Answer: LCM of 460, 243, 493, 728 is 10029572280.

2. How to calculate the LCM of 460, 243, 493, 728?

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 460, 243, 493, 728.

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}.