Given numbers are 853,345,355,312,860

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

The LCM of 853,345,355,312,860 is 93439018920.

Find LCM of 853,345,355,312,860 with Prime Factorization

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

2 x 2 x 3 x 5 x 853 x 23 x 71 x 26 x 43 = 93439018920

Therefore, the lowest common multiple of 853,345,355,312,860 is 93439018920.

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.

853 x 345 x 355 x 312 x 860 = 28031705676000

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.

853 : 1, 853

345 : 1, 3, 5, 15, 23, 69, 115, 345

355 : 1, 5, 71, 355

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,345,355,312,860, is 1.

Now, the common factors can be found like this.

853:853

345:3x 5x 23

355:5x 71

312:2x 2x 2x 3x 13

860:2x 2x 5x 43

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 5 = 300

Therefore, the value for common factors is 300.

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 = 28031705676000/(1x300)

LCM = 28031705676000/300

LCM = 93439018920

Thus, we can understand that the LCM of 853,345,355,312,860 is 93439018920.

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

• LCM of 918, 455, 944, 582, 595
• LCM of 587, 891, 519, 502, 647
• LCM of 678, 106, 728, 294, 777
• LCM of 805, 105, 368, 336, 126
• LCM of 734, 755, 251, 800, 796

1. What is the LCM of 853, 345, 355, 312, 860?

Answer: LCM of 853, 345, 355, 312, 860 is 93439018920.

2. How to calculate the LCM of 853, 345, 355, 312, 860?

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 853, 345, 355, 312, 860.

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}.