Given numbers are 447,149,289,822

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

The LCM of 447,149,289,822 is 35396142.

Find LCM of 447,149,289,822 with Prime Factorization

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

3 x 149 x 1 x 1 x 289 x 274 = 35396142

Therefore, the lowest common multiple of 447,149,289,822 is 35396142.

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.

447 x 149 x 289 x 822 = 15822075474

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.

447 : 1, 3, 149, 447

149 : 1, 149

289 : 1, 17, 289

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,149,289,822, is 1.

Now, the common factors can be found like this.

447:3x 149

149:149

289:17x 17

822:2x 3x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 149 = 447

Therefore, the value for common factors is 447.

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 = 15822075474/(1x447)

LCM = 15822075474/447

LCM = 35396142

Thus, we can understand that the LCM of 447,149,289,822 is 35396142.

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

• LCM of 489, 615, 172, 631
• LCM of 164, 595, 189, 600
• LCM of 613, 540, 155, 897
• LCM of 989, 681, 805, 665
• LCM of 124, 235, 305, 664

1. What is the LCM of 447, 149, 289, 822?

Answer: LCM of 447, 149, 289, 822 is 35396142.

2. How to calculate the LCM of 447, 149, 289, 822?

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 447, 149, 289, 822.

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}.