Given numbers are 530,369,900,831,810

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

The LCM of 530,369,900,831,810 is 4875560100.

Find LCM of 530,369,900,831,810 with Prime Factorization

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

2 x 3 x 3 x 5 x 53 x 41 x 10 x 277 x 9 = 4875560100

Therefore, the lowest common multiple of 530,369,900,831,810 is 4875560100.

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.

530 x 369 x 900 x 831 x 810 = 118476110430000

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

369 : 1, 3, 9, 41, 123, 369

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

831 : 1, 3, 277, 831

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 530,369,900,831,810, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

369:3x 3x 41

900:2x 2x 3x 3x 5x 5

831:3x 277

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 3x 3x 3x 5x 5 = 24300

Therefore, the value for common factors is 24300.

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 = 118476110430000/(1x24300)

LCM = 118476110430000/24300

LCM = 4875560100

Thus, we can understand that the LCM of 530,369,900,831,810 is 4875560100.

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

• LCM of 116, 261, 437, 145, 775
• LCM of 611, 962, 389, 250, 341
• LCM of 284, 907, 472, 200, 956
• LCM of 959, 482, 586, 966, 726
• LCM of 598, 733, 124, 725, 993

1. What is the LCM of 530, 369, 900, 831, 810?

Answer: LCM of 530, 369, 900, 831, 810 is 4875560100.

2. How to calculate the LCM of 530, 369, 900, 831, 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 530, 369, 900, 831, 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}.