Given numbers are 331,258,560,606,822

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

The LCM of 331,258,560,606,822 is 330862595280.

Find LCM of 331,258,560,606,822 with Prime Factorization

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

2 x 3 x 331 x 43 x 280 x 101 x 137 = 330862595280

Therefore, the lowest common multiple of 331,258,560,606,822 is 330862595280.

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.

331 x 258 x 560 x 606 x 822 = 23822106860160

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.

331 : 1, 331

258 : 1, 2, 3, 6, 43, 86, 129, 258

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

606 : 1, 2, 3, 6, 101, 202, 303, 606

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,258,560,606,822, is 1.

Now, the common factors can be found like this.

331:331

258:2x 3x 43

560:2x 2x 2x 2x 5x 7

606:2x 3x 101

822:2x 3x 137

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 23822106860160/(1x72)

LCM = 23822106860160/72

LCM = 330862595280

Thus, we can understand that the LCM of 331,258,560,606,822 is 330862595280.

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

• LCM of 381, 146, 469, 194, 496
• LCM of 335, 184, 741, 735, 557
• LCM of 699, 615, 658, 242, 435
• LCM of 383, 807, 761, 286, 169
• LCM of 340, 788, 280, 621, 182

1. What is the LCM of 331, 258, 560, 606, 822?

Answer: LCM of 331, 258, 560, 606, 822 is 330862595280.

2. How to calculate the LCM of 331, 258, 560, 606, 822?

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 331, 258, 560, 606, 822.

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}.