Given numbers are 270,388,397,336,509

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

The LCM of 270,388,397,336,509 is 296368344720.

Find LCM of 270,388,397,336,509 with Prime Factorization

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

2 x 2 x 3 x 45 x 97 x 397 x 28 x 509 = 296368344720

Therefore, the lowest common multiple of 270,388,397,336,509 is 296368344720.

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.

270 x 388 x 397 x 336 x 509 = 7112840273280

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

388 : 1, 2, 4, 97, 194, 388

397 : 1, 397

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,388,397,336,509, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

388:2x 2x 97

397:397

336:2x 2x 2x 2x 3x 7

509:509

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7112840273280/(1x24)

LCM = 7112840273280/24

LCM = 296368344720

Thus, we can understand that the LCM of 270,388,397,336,509 is 296368344720.

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

• LCM of 693, 784, 167, 678, 373
• LCM of 134, 797, 228, 205, 550
• LCM of 784, 667, 610, 375, 626
• LCM of 711, 290, 216, 827, 682
• LCM of 205, 145, 855, 104, 848

1. What is the LCM of 270, 388, 397, 336, 509?

Answer: LCM of 270, 388, 397, 336, 509 is 296368344720.

2. How to calculate the LCM of 270, 388, 397, 336, 509?

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 270, 388, 397, 336, 509.

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}.