Given numbers are 810,579,210,123,380

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

The LCM of 810,579,210,123,380 is 1704934980.

Find LCM of 810,579,210,123,380 with Prime Factorization

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

2 x 3 x 5 x 27 x 193 x 7 x 41 x 38 = 1704934980

Therefore, the lowest common multiple of 810,579,210,123,380 is 1704934980.

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.

810 x 579 x 210 x 123 x 380 = 4603324446000

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.

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

579 : 1, 3, 193, 579

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

123 : 1, 3, 41, 123

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,579,210,123,380, is 1.

Now, the common factors can be found like this.

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

579:3x 193

210:2x 3x 5x 7

123:3x 41

380:2x 2x 5x 19

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 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 4603324446000/(1x2700)

LCM = 4603324446000/2700

LCM = 1704934980

Thus, we can understand that the LCM of 810,579,210,123,380 is 1704934980.

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

• LCM of 743, 478, 934, 932, 145
• LCM of 941, 814, 759, 301, 413
• LCM of 870, 199, 575, 797, 520
• LCM of 239, 536, 688, 162, 109
• LCM of 984, 500, 917, 501, 916

1. What is the LCM of 810, 579, 210, 123, 380?

Answer: LCM of 810, 579, 210, 123, 380 is 1704934980.

2. How to calculate the LCM of 810, 579, 210, 123, 380?

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 810, 579, 210, 123, 380.

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}.