Given numbers are 528,552,344,234,284

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

The LCM of 528,552,344,234,284 is 1445949648.

Find LCM of 528,552,344,234,284 with Prime Factorization

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

2 x 2 x 2 x 3 x 22 x 23 x 43 x 39 x 71 = 1445949648

Therefore, the lowest common multiple of 528,552,344,234,284 is 1445949648.

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.

528 x 552 x 344 x 234 x 284 = 6662935977984

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

344 : 1, 2, 4, 8, 43, 86, 172, 344

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,552,344,234,284, is 2.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

552:2x 2x 2x 3x 23

344:2x 2x 2x 43

234:2x 3x 3x 13

284:2x 2x 71

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 2x 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 6662935977984/(2x2304)

LCM = 6662935977984/4608

LCM = 1445949648

Thus, we can understand that the LCM of 528,552,344,234,284 is 1445949648.

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

• LCM of 605, 522, 478, 485, 499
• LCM of 916, 507, 697, 527, 658
• LCM of 661, 820, 870, 804, 931
• LCM of 278, 136, 655, 232, 844
• LCM of 964, 145, 172, 239, 329

1. What is the LCM of 528, 552, 344, 234, 284?

Answer: LCM of 528, 552, 344, 234, 284 is 1445949648.

2. How to calculate the LCM of 528, 552, 344, 234, 284?

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 528, 552, 344, 234, 284.

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}.