Given numbers are 654,996,916,966,828

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

The LCM of 654,996,916,966,828 is 12007938348.

Find LCM of 654,996,916,966,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 109 x 83 x 229 x 7 x 3 = 12007938348

Therefore, the lowest common multiple of 654,996,916,966,828 is 12007938348.

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.

654 x 996 x 916 x 966 x 828 = 477243501702912

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

916 : 1, 2, 4, 229, 458, 916

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,996,916,966,828, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

996:2x 2x 3x 83

916:2x 2x 229

966:2x 3x 7x 23

828:2x 2x 3x 3x 23

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 3x 3x 3x 23 = 19872

Therefore, the value for common factors is 19872.

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 = 477243501702912/(2x19872)

LCM = 477243501702912/39744

LCM = 12007938348

Thus, we can understand that the LCM of 654,996,916,966,828 is 12007938348.

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

• LCM of 683, 565, 558, 975, 345
• LCM of 569, 339, 970, 692, 528
• LCM of 852, 767, 790, 285, 191
• LCM of 544, 443, 650, 570, 238
• LCM of 677, 861, 255, 964, 391

1. What is the LCM of 654, 996, 916, 966, 828?

Answer: LCM of 654, 996, 916, 966, 828 is 12007938348.

2. How to calculate the LCM of 654, 996, 916, 966, 828?

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 654, 996, 916, 966, 828.

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}.