Given numbers are 321,279,251,575,880

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

The LCM of 321,279,251,575,880 is 758302023600.

Find LCM of 321,279,251,575,880 with Prime Factorization

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

3 x 5 x 107 x 93 x 251 x 115 x 176 = 758302023600

Therefore, the lowest common multiple of 321,279,251,575,880 is 758302023600.

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.

321 x 279 x 251 x 575 x 880 = 11374530354000

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.

321 : 1, 3, 107, 321

279 : 1, 3, 9, 31, 93, 279

251 : 1, 251

575 : 1, 5, 23, 25, 115, 575

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 321,279,251,575,880, is 1.

Now, the common factors can be found like this.

321:3x 107

279:3x 3x 31

251:251

575:5x 5x 23

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.

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 11374530354000/(1x15)

LCM = 11374530354000/15

LCM = 758302023600

Thus, we can understand that the LCM of 321,279,251,575,880 is 758302023600.

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

• LCM of 466, 407, 488, 461, 926
• LCM of 922, 410, 928, 628, 811
• LCM of 145, 303, 866, 390, 199
• LCM of 626, 804, 856, 508, 546
• LCM of 814, 647, 425, 335, 343

1. What is the LCM of 321, 279, 251, 575, 880?

Answer: LCM of 321, 279, 251, 575, 880 is 758302023600.

2. How to calculate the LCM of 321, 279, 251, 575, 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 321, 279, 251, 575, 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}.