Given numbers are 432,376,806,375,360

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

The LCM of 432,376,806,375,360 is 1022814000.

Find LCM of 432,376,806,375,360 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 6 x 47 x 403 x 25 x 1 = 1022814000

Therefore, the lowest common multiple of 432,376,806,375,360 is 1022814000.

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.

432 x 376 x 806 x 375 x 360 = 17674225920000

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

376 : 1, 2, 4, 8, 47, 94, 188, 376

806 : 1, 2, 13, 26, 31, 62, 403, 806

375 : 1, 3, 5, 15, 25, 75, 125, 375

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,376,806,375,360, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

376:2x 2x 2x 47

806:2x 13x 31

375:3x 5x 5x 5

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

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 2x 2x 2x 2x 3x 3x 3x 5 = 17280

Therefore, the value for common factors is 17280.

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 = 17674225920000/(1x17280)

LCM = 17674225920000/17280

LCM = 1022814000

Thus, we can understand that the LCM of 432,376,806,375,360 is 1022814000.

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

• LCM of 417, 911, 405, 293, 155
• LCM of 598, 468, 897, 257, 255
• LCM of 777, 490, 552, 167, 980
• LCM of 146, 151, 663, 662, 786
• LCM of 418, 290, 512, 192, 792

1. What is the LCM of 432, 376, 806, 375, 360?

Answer: LCM of 432, 376, 806, 375, 360 is 1022814000.

2. How to calculate the LCM of 432, 376, 806, 375, 360?

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 432, 376, 806, 375, 360.

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}.