Given numbers are 870,220,990,437,815

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

The LCM of 870,220,990,437,815 is 4090084020.

Find LCM of 870,220,990,437,815 with Prime Factorization

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

2 x 3 x 5 x 11 x 29 x 2 x 3 x 437 x 163 = 4090084020

Therefore, the lowest common multiple of 870,220,990,437,815 is 4090084020.

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 220 x 990 x 437 x 815 = 67486386330000

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

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

437 : 1, 19, 23, 437

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,220,990,437,815, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

220:2x 2x 5x 11

990:2x 3x 3x 5x 11

437:19x 23

815:5x 163

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 5x 5x 5x 11 = 16500

Therefore, the value for common factors is 16500.

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 = 67486386330000/(1x16500)

LCM = 67486386330000/16500

LCM = 4090084020

Thus, we can understand that the LCM of 870,220,990,437,815 is 4090084020.

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

• LCM of 297, 658, 395, 565, 570
• LCM of 838, 890, 188, 524, 980
• LCM of 819, 893, 144, 934, 404
• LCM of 235, 745, 991, 814, 350
• LCM of 138, 112, 870, 731, 516

1. What is the LCM of 870, 220, 990, 437, 815?

Answer: LCM of 870, 220, 990, 437, 815 is 4090084020.

2. How to calculate the LCM of 870, 220, 990, 437, 815?

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, 220, 990, 437, 815.

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}.