Given numbers are 870,388,230,861,828

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

The LCM of 870,388,230,861,828 is 3342350340.

Find LCM of 870,388,230,861,828 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 29 x 97 x 1 x 287 x 3 = 3342350340

Therefore, the lowest common multiple of 870,388,230,861,828 is 3342350340.

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.

870 x 388 x 230 x 861 x 828 = 55349321630400

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

388 : 1, 2, 4, 97, 194, 388

230 : 1, 2, 5, 10, 23, 46, 115, 230

861 : 1, 3, 7, 21, 41, 123, 287, 861

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,388,230,861,828, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

388:2x 2x 97

230:2x 5x 23

861:3x 7x 41

828:2x 2x 3x 3x 23

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 3x 3x 5x 23 = 16560

Therefore, the value for common factors is 16560.

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 = 55349321630400/(1x16560)

LCM = 55349321630400/16560

LCM = 3342350340

Thus, we can understand that the LCM of 870,388,230,861,828 is 3342350340.

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

• LCM of 356, 581, 660, 597, 943
• LCM of 788, 820, 306, 886, 160
• LCM of 362, 951, 445, 629, 356
• LCM of 895, 942, 739, 970, 299
• LCM of 649, 256, 506, 938, 856

1. What is the LCM of 870, 388, 230, 861, 828?

Answer: LCM of 870, 388, 230, 861, 828 is 3342350340.

2. How to calculate the LCM of 870, 388, 230, 861, 828?

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 870, 388, 230, 861, 828.

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}.