Given numbers are 206,450,624,789

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

The LCM of 206,450,624,789 is 1267765200.

Find LCM of 206,450,624,789 with Prime Factorization

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

2 x 3 x 103 x 75 x 104 x 263 = 1267765200

Therefore, the lowest common multiple of 206,450,624,789 is 1267765200.

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.

206 x 450 x 624 x 789 = 45639547200

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.

206 : 1, 2, 103, 206

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,450,624,789, is 1.

Now, the common factors can be found like this.

206:2x 103

450:2x 3x 3x 5x 5

624:2x 2x 2x 2x 3x 13

789:3x 263

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 3 = 36

Therefore, the value for common factors is 36.

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 = 45639547200/(1x36)

LCM = 45639547200/36

LCM = 1267765200

Thus, we can understand that the LCM of 206,450,624,789 is 1267765200.

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

• LCM of 329, 534, 389, 834
• LCM of 116, 954, 103, 195
• LCM of 793, 883, 776, 850
• LCM of 546, 251, 256, 326
• LCM of 227, 781, 964, 670

1. What is the LCM of 206, 450, 624, 789?

Answer: LCM of 206, 450, 624, 789 is 1267765200.

2. How to calculate the LCM of 206, 450, 624, 789?

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 206, 450, 624, 789.

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}.