Given numbers are 213,301,628,880

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

The LCM of 213,301,628,880 is 8857852080.

Find LCM of 213,301,628,880 with Prime Factorization

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

2 x 2 x 213 x 301 x 157 x 220 = 8857852080

Therefore, the lowest common multiple of 213,301,628,880 is 8857852080.

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.

213 x 301 x 628 x 880 = 35431408320

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.

213 : 1, 3, 71, 213

301 : 1, 7, 43, 301

628 : 1, 2, 4, 157, 314, 628

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,301,628,880, is 1.

Now, the common factors can be found like this.

213:3x 71

301:7x 43

628:2x 2x 157

880:2x 2x 2x 2x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 35431408320/(1x4)

LCM = 35431408320/4

LCM = 8857852080

Thus, we can understand that the LCM of 213,301,628,880 is 8857852080.

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

• LCM of 177, 408, 817, 285
• LCM of 627, 581, 184, 218
• LCM of 138, 372, 500, 455
• LCM of 681, 866, 143, 990
• LCM of 477, 956, 759, 476

1. What is the LCM of 213, 301, 628, 880?

Answer: LCM of 213, 301, 628, 880 is 8857852080.

2. How to calculate the LCM of 213, 301, 628, 880?

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 213, 301, 628, 880.

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}.