Given numbers are 468,552,325,489,977

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

The LCM of 468,552,325,489,977 is 85708888200.

Find LCM of 468,552,325,489,977 with Prime Factorization

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

2 x 2 x 3 x 13 x 3 x 46 x 25 x 163 x 977 = 85708888200

Therefore, the lowest common multiple of 468,552,325,489,977 is 85708888200.

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.

468 x 552 x 325 x 489 x 977 = 40111759677600

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

325 : 1, 5, 13, 25, 65, 325

489 : 1, 3, 163, 489

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,552,325,489,977, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

552:2x 2x 2x 3x 23

325:5x 5x 13

489:3x 163

977:977

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 13 = 468

Therefore, the value for common factors is 468.

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 = 40111759677600/(1x468)

LCM = 40111759677600/468

LCM = 85708888200

Thus, we can understand that the LCM of 468,552,325,489,977 is 85708888200.

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

• LCM of 192, 434, 720, 408, 309
• LCM of 332, 838, 141, 830, 559
• LCM of 428, 732, 879, 309, 503
• LCM of 433, 624, 412, 501, 909
• LCM of 194, 591, 681, 813, 595

1. What is the LCM of 468, 552, 325, 489, 977?

Answer: LCM of 468, 552, 325, 489, 977 is 85708888200.

2. How to calculate the LCM of 468, 552, 325, 489, 977?

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 468, 552, 325, 489, 977.

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}.