Given numbers are 229,794,201,960,900

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

The LCM of 229,794,201,960,900 is 87712862400.

Find LCM of 229,794,201,960,900 with Prime Factorization

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

2 x 2 x 3 x 5 x 229 x 397 x 67 x 16 x 15 = 87712862400

Therefore, the lowest common multiple of 229,794,201,960,900 is 87712862400.

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.

229 x 794 x 201 x 960 x 900 = 31576630464000

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.

229 : 1, 229

794 : 1, 2, 397, 794

201 : 1, 3, 67, 201

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 229,794,201,960,900, is 1.

Now, the common factors can be found like this.

229:229

794:2x 397

201:3x 67

960:2x 2x 2x 2x 2x 2x 3x 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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 31576630464000/(1x360)

LCM = 31576630464000/360

LCM = 87712862400

Thus, we can understand that the LCM of 229,794,201,960,900 is 87712862400.

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

• LCM of 891, 300, 688, 257, 848
• LCM of 489, 901, 602, 359, 504
• LCM of 148, 213, 843, 992, 210
• LCM of 887, 264, 602, 218, 902
• LCM of 325, 372, 478, 870, 240

1. What is the LCM of 229, 794, 201, 960, 900?

Answer: LCM of 229, 794, 201, 960, 900 is 87712862400.

2. How to calculate the LCM of 229, 794, 201, 960, 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 229, 794, 201, 960, 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}.