Given numbers are 516,486,698,990

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

The LCM of 516,486,698,990 is 802274220.

Find LCM of 516,486,698,990 with Prime Factorization

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

2 x 3 x 3 x 86 x 27 x 349 x 55 = 802274220

Therefore, the lowest common multiple of 516,486,698,990 is 802274220.

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.

516 x 486 x 698 x 990 = 173291231520

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

698 : 1, 2, 349, 698

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,486,698,990, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

486:2x 3x 3x 3x 3x 3

698:2x 349

990:2x 3x 3x 5x 11

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 173291231520/(2x108)

LCM = 173291231520/216

LCM = 802274220

Thus, we can understand that the LCM of 516,486,698,990 is 802274220.

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

• LCM of 969, 626, 482, 790
• LCM of 368, 300, 739, 507
• LCM of 878, 113, 342, 355
• LCM of 301, 942, 661, 646
• LCM of 403, 344, 213, 868

1. What is the LCM of 516, 486, 698, 990?

Answer: LCM of 516, 486, 698, 990 is 802274220.

2. How to calculate the LCM of 516, 486, 698, 990?

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 516, 486, 698, 990.

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}.