Given numbers are 489,219,783,584

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

The LCM of 489,219,783,584 is 74535336.

Find LCM of 489,219,783,584 with Prime Factorization

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

3 x 73 x 163 x 1 x 261 x 8 = 74535336

Therefore, the lowest common multiple of 489,219,783,584 is 74535336.

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.

489 x 219 x 783 x 584 = 48969715752

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.

489 : 1, 3, 163, 489

219 : 1, 3, 73, 219

783 : 1, 3, 9, 27, 29, 87, 261, 783

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,219,783,584, is 1.

Now, the common factors can be found like this.

489:3x 163

219:3x 73

783:3x 3x 3x 29

584:2x 2x 2x 73

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

3x 3x 73 = 657

Therefore, the value for common factors is 657.

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 = 48969715752/(1x657)

LCM = 48969715752/657

LCM = 74535336

Thus, we can understand that the LCM of 489,219,783,584 is 74535336.

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

• LCM of 985, 298, 180, 707
• LCM of 168, 213, 410, 374
• LCM of 719, 198, 616, 937
• LCM of 987, 495, 801, 942
• LCM of 624, 360, 291, 507

1. What is the LCM of 489, 219, 783, 584?

Answer: LCM of 489, 219, 783, 584 is 74535336.

2. How to calculate the LCM of 489, 219, 783, 584?

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 489, 219, 783, 584.

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}.