Given numbers are 489,644,424

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

The LCM of 489,644,424 is 33381096.

Find LCM of 489,644,424 with Prime Factorization

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

2 x 2 x 489 x 161 x 106 = 33381096

Therefore, the lowest common multiple of 489,644,424 is 33381096.

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 644 x 424 = 133524384

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

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,644,424, is 1.

Now, the common factors can be found like this.

489:3x 163

644:2x 2x 7x 23

424:2x 2x 2x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 133524384/(1x4)

LCM = 133524384/4

LCM = 33381096

Thus, we can understand that the LCM of 489,644,424 is 33381096.

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

• LCM of 996, 271, 691
• LCM of 699, 667, 413
• LCM of 958, 863, 879
• LCM of 774, 929, 203
• LCM of 715, 784, 550

1. What is the LCM of 489, 644, 424?

Answer: LCM of 489, 644, 424 is 33381096.

2. How to calculate the LCM of 489, 644, 424?

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, 644, 424.

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}.