Given numbers are 217,489,458,956,754

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

The LCM of 217,489,458,956,754 is 8757967269324.

Find LCM of 217,489,458,956,754 with Prime Factorization

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

2 x 217 x 489 x 229 x 478 x 377 = 8757967269324

Therefore, the lowest common multiple of 217,489,458,956,754 is 8757967269324.

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.

217 x 489 x 458 x 956 x 754 = 35031869077296

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.

217 : 1, 7, 31, 217

489 : 1, 3, 163, 489

458 : 1, 2, 229, 458

956 : 1, 2, 4, 239, 478, 956

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,489,458,956,754, is 1.

Now, the common factors can be found like this.

217:7x 31

489:3x 163

458:2x 229

956:2x 2x 239

754:2x 13x 29

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 = 35031869077296/(1x4)

LCM = 35031869077296/4

LCM = 8757967269324

Thus, we can understand that the LCM of 217,489,458,956,754 is 8757967269324.

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

• LCM of 590, 327, 906, 179, 878
• LCM of 610, 506, 521, 342, 703
• LCM of 755, 201, 240, 141, 587
• LCM of 428, 871, 325, 650, 846
• LCM of 419, 354, 141, 778, 363

1. What is the LCM of 217, 489, 458, 956, 754?

Answer: LCM of 217, 489, 458, 956, 754 is 8757967269324.

2. How to calculate the LCM of 217, 489, 458, 956, 754?

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 217, 489, 458, 956, 754.

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}.