Given numbers are 509,156,391,497,556

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

The LCM of 509,156,391,497,556 is 2144817414012.

Find LCM of 509,156,391,497,556 with Prime Factorization

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

2 x 2 x 509 x 39 x 391 x 497 x 139 = 2144817414012

Therefore, the lowest common multiple of 509,156,391,497,556 is 2144817414012.

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.

509 x 156 x 391 x 497 x 556 = 8579269656048

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.

509 : 1, 509

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

391 : 1, 17, 23, 391

497 : 1, 7, 71, 497

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,156,391,497,556, is 1.

Now, the common factors can be found like this.

509:509

156:2x 2x 3x 13

391:17x 23

497:7x 71

556:2x 2x 139

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 = 8579269656048/(1x4)

LCM = 8579269656048/4

LCM = 2144817414012

Thus, we can understand that the LCM of 509,156,391,497,556 is 2144817414012.

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

• LCM of 342, 899, 238, 747, 656
• LCM of 953, 512, 343, 630, 811
• LCM of 576, 943, 711, 976, 518
• LCM of 948, 118, 403, 875, 774
• LCM of 528, 432, 783, 683, 751

1. What is the LCM of 509, 156, 391, 497, 556?

Answer: LCM of 509, 156, 391, 497, 556 is 2144817414012.

2. How to calculate the LCM of 509, 156, 391, 497, 556?

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 509, 156, 391, 497, 556.

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}.