Given numbers are 521,319,363,517

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

The LCM of 521,319,363,517 is 257774649.

Find LCM of 521,319,363,517 with Prime Factorization

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

11 x 521 x 29 x 33 x 47 = 257774649

Therefore, the lowest common multiple of 521,319,363,517 is 257774649.

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.

521 x 319 x 363 x 517 = 31190732529

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.

521 : 1, 521

319 : 1, 11, 29, 319

363 : 1, 3, 11, 33, 121, 363

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,319,363,517, is 1.

Now, the common factors can be found like this.

521:521

319:11x 29

363:3x 11x 11

517:11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 31190732529/(1x121)

LCM = 31190732529/121

LCM = 257774649

Thus, we can understand that the LCM of 521,319,363,517 is 257774649.

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

• LCM of 339, 744, 979, 678
• LCM of 984, 405, 582, 426
• LCM of 364, 810, 341, 564
• LCM of 698, 591, 789, 706
• LCM of 376, 345, 221, 355

1. What is the LCM of 521, 319, 363, 517?

Answer: LCM of 521, 319, 363, 517 is 257774649.

2. How to calculate the LCM of 521, 319, 363, 517?

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 521, 319, 363, 517.

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}.