Given numbers are 706,828,584,218

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

The LCM of 706,828,584,218 is 4651407576.

Find LCM of 706,828,584,218 with Prime Factorization

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

2 x 2 x 353 x 207 x 146 x 109 = 4651407576

Therefore, the lowest common multiple of 706,828,584,218 is 4651407576.

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.

706 x 828 x 584 x 218 = 74422521216

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.

706 : 1, 2, 353, 706

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

584 : 1, 2, 4, 8, 73, 146, 292, 584

218 : 1, 2, 109, 218

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,828,584,218, is 2.

Now, the common factors can be found like this.

706:2x 353

828:2x 2x 3x 3x 23

584:2x 2x 2x 73

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 = 74422521216/(2x8)

LCM = 74422521216/16

LCM = 4651407576

Thus, we can understand that the LCM of 706,828,584,218 is 4651407576.

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

• LCM of 489, 501, 537, 518
• LCM of 650, 388, 572, 659
• LCM of 729, 133, 678, 582
• LCM of 339, 991, 708, 940
• LCM of 731, 857, 663, 231

1. What is the LCM of 706, 828, 584, 218?

Answer: LCM of 706, 828, 584, 218 is 4651407576.

2. How to calculate the LCM of 706, 828, 584, 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 706, 828, 584, 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}.