Given numbers are 360,555,214,390,246

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

The LCM of 360,555,214,390,246 is 759652920.

Find LCM of 360,555,214,390,246 with Prime Factorization

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

2 x 3 x 5 x 12 x 37 x 107 x 13 x 41 = 759652920

Therefore, the lowest common multiple of 360,555,214,390,246 is 759652920.

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.

360 x 555 x 214 x 390 x 246 = 4102125768000

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

555 : 1, 3, 5, 15, 37, 111, 185, 555

214 : 1, 2, 107, 214

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

246 : 1, 2, 3, 6, 41, 82, 123, 246

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,555,214,390,246, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

555:3x 5x 37

214:2x 107

390:2x 3x 5x 13

246:2x 3x 41

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 3x 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 4102125768000/(1x5400)

LCM = 4102125768000/5400

LCM = 759652920

Thus, we can understand that the LCM of 360,555,214,390,246 is 759652920.

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

• LCM of 389, 907, 914, 366, 376
• LCM of 774, 665, 281, 997, 681
• LCM of 669, 328, 702, 592, 267
• LCM of 908, 801, 691, 884, 846
• LCM of 682, 533, 968, 476, 857

1. What is the LCM of 360, 555, 214, 390, 246?

Answer: LCM of 360, 555, 214, 390, 246 is 759652920.

2. How to calculate the LCM of 360, 555, 214, 390, 246?

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 360, 555, 214, 390, 246.

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}.