Given numbers are 290,828,881,489,966

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

The LCM of 290,828,881,489,966 is 120686833260.

Find LCM of 290,828,881,489,966 with Prime Factorization

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

2 x 3 x 23 x 145 x 6 x 881 x 163 x 7 = 120686833260

Therefore, the lowest common multiple of 290,828,881,489,966 is 120686833260.

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.

290 x 828 x 881 x 489 x 966 = 99928697939280

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

881 : 1, 881

489 : 1, 3, 163, 489

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,828,881,489,966, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

828:2x 2x 3x 3x 23

881:881

489:3x 163

966:2x 3x 7x 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 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 99928697939280/(1x828)

LCM = 99928697939280/828

LCM = 120686833260

Thus, we can understand that the LCM of 290,828,881,489,966 is 120686833260.

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

• LCM of 811, 210, 226, 111, 114
• LCM of 145, 863, 732, 609, 785
• LCM of 642, 894, 912, 433, 482
• LCM of 924, 922, 687, 738, 682
• LCM of 403, 948, 421, 852, 755

1. What is the LCM of 290, 828, 881, 489, 966?

Answer: LCM of 290, 828, 881, 489, 966 is 120686833260.

2. How to calculate the LCM of 290, 828, 881, 489, 966?

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 290, 828, 881, 489, 966.

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}.