Given numbers are 509,370,514,319

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

The LCM of 509,370,514,319 is 15439858390.

Find LCM of 509,370,514,319 with Prime Factorization

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

2 x 509 x 185 x 257 x 319 = 15439858390

Therefore, the lowest common multiple of 509,370,514,319 is 15439858390.

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 370 x 514 x 319 = 30879716780

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

514 : 1, 2, 257, 514

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,370,514,319, is 1.

Now, the common factors can be found like this.

509:509

370:2x 5x 37

514:2x 257

319:11x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 30879716780/(1x2)

LCM = 30879716780/2

LCM = 15439858390

Thus, we can understand that the LCM of 509,370,514,319 is 15439858390.

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

• LCM of 743, 933, 357, 741
• LCM of 534, 434, 372, 539
• LCM of 329, 757, 828, 611
• LCM of 828, 834, 404, 238
• LCM of 719, 429, 758, 133

1. What is the LCM of 509, 370, 514, 319?

Answer: LCM of 509, 370, 514, 319 is 15439858390.

2. How to calculate the LCM of 509, 370, 514, 319?

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, 370, 514, 319.

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}.