Given numbers are 924,526,671,772,406

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

The LCM of 924,526,671,772,406 is 82968428004.

Find LCM of 924,526,671,772,406 with Prime Factorization

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

2 x 2 x 7 x 11 x 3 x 263 x 61 x 193 x 29 = 82968428004

Therefore, the lowest common multiple of 924,526,671,772,406 is 82968428004.

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.

924 x 526 x 671 x 772 x 406 = 102217103300928

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

526 : 1, 2, 263, 526

671 : 1, 11, 61, 671

772 : 1, 2, 4, 193, 386, 772

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,526,671,772,406, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

526:2x 263

671:11x 61

772:2x 2x 193

406:2x 7x 29

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 7x 11 = 1232

Therefore, the value for common factors is 1232.

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 = 102217103300928/(1x1232)

LCM = 102217103300928/1232

LCM = 82968428004

Thus, we can understand that the LCM of 924,526,671,772,406 is 82968428004.

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

• LCM of 635, 216, 882, 339, 873
• LCM of 781, 587, 298, 184, 453
• LCM of 254, 691, 831, 521, 862
• LCM of 488, 575, 943, 171, 101
• LCM of 725, 475, 725, 614, 375

1. What is the LCM of 924, 526, 671, 772, 406?

Answer: LCM of 924, 526, 671, 772, 406 is 82968428004.

2. How to calculate the LCM of 924, 526, 671, 772, 406?

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 924, 526, 671, 772, 406.

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}.