Given numbers are 411,516,742,509,990

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

The LCM of 411,516,742,509,990 is 2202652087020.

Find LCM of 411,516,742,509,990 with Prime Factorization

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

2 x 3 x 137 x 86 x 371 x 509 x 165 = 2202652087020

Therefore, the lowest common multiple of 411,516,742,509,990 is 2202652087020.

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.

411 x 516 x 742 x 509 x 990 = 79295475132720

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.

411 : 1, 3, 137, 411

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

509 : 1, 509

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 411,516,742,509,990, is 1.

Now, the common factors can be found like this.

411:3x 137

516:2x 2x 3x 43

742:2x 7x 53

509:509

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 3 = 36

Therefore, the value for common factors is 36.

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 = 79295475132720/(1x36)

LCM = 79295475132720/36

LCM = 2202652087020

Thus, we can understand that the LCM of 411,516,742,509,990 is 2202652087020.

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

• LCM of 423, 636, 334, 729, 645
• LCM of 646, 222, 900, 960, 433
• LCM of 847, 991, 862, 261, 681
• LCM of 969, 226, 898, 466, 715
• LCM of 714, 235, 189, 822, 249

1. What is the LCM of 411, 516, 742, 509, 990?

Answer: LCM of 411, 516, 742, 509, 990 is 2202652087020.

2. How to calculate the LCM of 411, 516, 742, 509, 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 411, 516, 742, 509, 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}.