Given numbers are 268,442,313,906,218

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

The LCM of 268,442,313,906,218 is 915368799228.

Find LCM of 268,442,313,906,218 with Prime Factorization

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

2 x 134 x 221 x 313 x 453 x 109 = 915368799228

Therefore, the lowest common multiple of 268,442,313,906,218 is 915368799228.

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.

268 x 442 x 313 x 906 x 218 = 7322950393824

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.

268 : 1, 2, 4, 67, 134, 268

442 : 1, 2, 13, 17, 26, 34, 221, 442

313 : 1, 313

906 : 1, 2, 3, 6, 151, 302, 453, 906

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,442,313,906,218, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

442:2x 13x 17

313:313

906:2x 3x 151

218:2x 109

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7322950393824/(1x8)

LCM = 7322950393824/8

LCM = 915368799228

Thus, we can understand that the LCM of 268,442,313,906,218 is 915368799228.

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

• LCM of 410, 261, 661, 112, 837
• LCM of 917, 330, 313, 598, 366
• LCM of 131, 510, 991, 778, 549
• LCM of 101, 356, 403, 681, 263
• LCM of 882, 479, 946, 702, 212

1. What is the LCM of 268, 442, 313, 906, 218?

Answer: LCM of 268, 442, 313, 906, 218 is 915368799228.

2. How to calculate the LCM of 268, 442, 313, 906, 218?

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 268, 442, 313, 906, 218.

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}.