Given numbers are 345,845,601,440,900

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

The LCM of 345,845,601,440,900 is 46254522600.

Find LCM of 345,845,601,440,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 169 x 601 x 22 x 15 = 46254522600

Therefore, the lowest common multiple of 345,845,601,440,900 is 46254522600.

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.

345 x 845 x 601 x 440 x 900 = 69381783900000

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

845 : 1, 5, 13, 65, 169, 845

601 : 1, 601

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,845,601,440,900, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

845:5x 13x 13

601:601

440:2x 2x 2x 5x 11

900:2x 2x 3x 3x 5x 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 3x 5x 5x 5 = 1500

Therefore, the value for common factors is 1500.

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 = 69381783900000/(1x1500)

LCM = 69381783900000/1500

LCM = 46254522600

Thus, we can understand that the LCM of 345,845,601,440,900 is 46254522600.

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

• LCM of 116, 144, 609, 424, 128
• LCM of 718, 813, 325, 162, 293
• LCM of 780, 988, 942, 233, 240
• LCM of 182, 762, 658, 835, 925
• LCM of 355, 664, 252, 357, 793

1. What is the LCM of 345, 845, 601, 440, 900?

Answer: LCM of 345, 845, 601, 440, 900 is 46254522600.

2. How to calculate the LCM of 345, 845, 601, 440, 900?

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 345, 845, 601, 440, 900.

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}.