Given numbers are 107,355,580,300,900

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

The LCM of 107,355,580,300,900 is 198281700.

Find LCM of 107,355,580,300,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 107 x 71 x 29 x 1 x 3 = 198281700

Therefore, the lowest common multiple of 107,355,580,300,900 is 198281700.

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.

107 x 355 x 580 x 300 x 900 = 5948451000000

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.

107 : 1, 107

355 : 1, 5, 71, 355

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 107,355,580,300,900, is 1.

Now, the common factors can be found like this.

107:107

355:5x 71

580:2x 2x 5x 29

300:2x 2x 3x 5x 5

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 2x 2x 3x 5x 5x 5x 5 = 30000

Therefore, the value for common factors is 30000.

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 = 5948451000000/(1x30000)

LCM = 5948451000000/30000

LCM = 198281700

Thus, we can understand that the LCM of 107,355,580,300,900 is 198281700.

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

• LCM of 554, 430, 333, 614, 348
• LCM of 673, 429, 148, 918, 925
• LCM of 962, 165, 289, 544, 553
• LCM of 224, 891, 114, 632, 604
• LCM of 266, 297, 912, 140, 513

1. What is the LCM of 107, 355, 580, 300, 900?

Answer: LCM of 107, 355, 580, 300, 900 is 198281700.

2. How to calculate the LCM of 107, 355, 580, 300, 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 107, 355, 580, 300, 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}.