Given numbers are 260,249,730,435,810

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

The LCM of 260,249,730,435,810 is 3700473660.

Find LCM of 260,249,730,435,810 with Prime Factorization

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

2 x 3 x 5 x 26 x 83 x 73 x 29 x 27 = 3700473660

Therefore, the lowest common multiple of 260,249,730,435,810 is 3700473660.

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.

260 x 249 x 730 x 435 x 810 = 16652131470000

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.

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

249 : 1, 3, 83, 249

730 : 1, 2, 5, 10, 73, 146, 365, 730

435 : 1, 3, 5, 15, 29, 87, 145, 435

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,249,730,435,810, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

249:3x 83

730:2x 5x 73

435:3x 5x 29

810:2x 3x 3x 3x 3x 5

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 3x 5x 5x 5 = 4500

Therefore, the value for common factors is 4500.

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 = 16652131470000/(1x4500)

LCM = 16652131470000/4500

LCM = 3700473660

Thus, we can understand that the LCM of 260,249,730,435,810 is 3700473660.

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

• LCM of 946, 981, 788, 506, 106
• LCM of 892, 873, 755, 389, 302
• LCM of 491, 184, 869, 230, 989
• LCM of 780, 711, 500, 401, 459
• LCM of 480, 638, 631, 296, 385

1. What is the LCM of 260, 249, 730, 435, 810?

Answer: LCM of 260, 249, 730, 435, 810 is 3700473660.

2. How to calculate the LCM of 260, 249, 730, 435, 810?

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 260, 249, 730, 435, 810.

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}.