Given numbers are 513,202,984,528,990

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

The LCM of 513,202,984,528,990 is 1869413040.

Find LCM of 513,202,984,528,990 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 57 x 101 x 41 x 2 x 5 = 1869413040

Therefore, the lowest common multiple of 513,202,984,528,990 is 1869413040.

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.

513 x 202 x 984 x 528 x 990 = 53300704596480

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

202 : 1, 2, 101, 202

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,202,984,528,990, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

202:2x 101

984:2x 2x 2x 3x 41

528:2x 2x 2x 2x 3x 11

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 2x 2x 2x 3x 3x 3x 3x 11 = 28512

Therefore, the value for common factors is 28512.

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 = 53300704596480/(1x28512)

LCM = 53300704596480/28512

LCM = 1869413040

Thus, we can understand that the LCM of 513,202,984,528,990 is 1869413040.

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

• LCM of 257, 354, 108, 363, 502
• LCM of 369, 759, 300, 644, 410
• LCM of 773, 987, 566, 445, 294
• LCM of 372, 109, 769, 594, 644
• LCM of 144, 774, 903, 873, 253

1. What is the LCM of 513, 202, 984, 528, 990?

Answer: LCM of 513, 202, 984, 528, 990 is 1869413040.

2. How to calculate the LCM of 513, 202, 984, 528, 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 513, 202, 984, 528, 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}.