Given numbers are 302,814,260,226

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

The LCM of 302,814,260,226 is 1805606660.

Find LCM of 302,814,260,226 with Prime Factorization

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

2 x 151 x 407 x 130 x 113 = 1805606660

Therefore, the lowest common multiple of 302,814,260,226 is 1805606660.

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.

302 x 814 x 260 x 226 = 14444853280

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.

302 : 1, 2, 151, 302

814 : 1, 2, 11, 22, 37, 74, 407, 814

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

226 : 1, 2, 113, 226

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,814,260,226, is 2.

Now, the common factors can be found like this.

302:2x 151

814:2x 11x 37

260:2x 2x 5x 13

226:2x 113

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 = 14444853280/(2x4)

LCM = 14444853280/8

LCM = 1805606660

Thus, we can understand that the LCM of 302,814,260,226 is 1805606660.

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

• LCM of 493, 905, 330, 913
• LCM of 425, 152, 329, 321
• LCM of 275, 433, 428, 562
• LCM of 513, 488, 649, 617
• LCM of 742, 799, 328, 671

1. What is the LCM of 302, 814, 260, 226?

Answer: LCM of 302, 814, 260, 226 is 1805606660.

2. How to calculate the LCM of 302, 814, 260, 226?

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 302, 814, 260, 226.

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}.