Given numbers are 489,549,244,276,461

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

The LCM of 489,549,244,276,461 is 3795322644.

Find LCM of 489,549,244,276,461 with Prime Factorization

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

2 x 2 x 3 x 61 x 163 x 3 x 1 x 23 x 461 = 3795322644

Therefore, the lowest common multiple of 489,549,244,276,461 is 3795322644.

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 549 x 244 x 276 x 461 = 8334528526224

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

549 : 1, 3, 9, 61, 183, 549

244 : 1, 2, 4, 61, 122, 244

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,549,244,276,461, is 1.

Now, the common factors can be found like this.

489:3x 163

549:3x 3x 61

244:2x 2x 61

276:2x 2x 3x 23

461:461

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 3x 61 = 2196

Therefore, the value for common factors is 2196.

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 = 8334528526224/(1x2196)

LCM = 8334528526224/2196

LCM = 3795322644

Thus, we can understand that the LCM of 489,549,244,276,461 is 3795322644.

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

• LCM of 132, 977, 679, 189, 385
• LCM of 509, 538, 532, 732, 566
• LCM of 151, 189, 528, 400, 610
• LCM of 150, 164, 490, 258, 670
• LCM of 408, 916, 917, 483, 792

1. What is the LCM of 489, 549, 244, 276, 461?

Answer: LCM of 489, 549, 244, 276, 461 is 3795322644.

2. How to calculate the LCM of 489, 549, 244, 276, 461?

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, 549, 244, 276, 461.

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}.