Given numbers are 782,321,922,916,890

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

The LCM of 782,321,922,916,890 is 23585125951020.

Find LCM of 782,321,922,916,890 with Prime Factorization

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

2 x 391 x 321 x 461 x 458 x 445 = 23585125951020

Therefore, the lowest common multiple of 782,321,922,916,890 is 23585125951020.

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.

782 x 321 x 922 x 916 x 890 = 188681007608160

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

321 : 1, 3, 107, 321

922 : 1, 2, 461, 922

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,321,922,916,890, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

321:3x 107

922:2x 461

916:2x 2x 229

890:2x 5x 89

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 2 = 8

Therefore, the value for common factors is 8.

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 = 188681007608160/(1x8)

LCM = 188681007608160/8

LCM = 23585125951020

Thus, we can understand that the LCM of 782,321,922,916,890 is 23585125951020.

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

• LCM of 882, 865, 810, 441, 910
• LCM of 418, 656, 651, 951, 755
• LCM of 488, 109, 986, 429, 903
• LCM of 827, 822, 825, 929, 367
• LCM of 822, 492, 785, 439, 331

1. What is the LCM of 782, 321, 922, 916, 890?

Answer: LCM of 782, 321, 922, 916, 890 is 23585125951020.

2. How to calculate the LCM of 782, 321, 922, 916, 890?

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 782, 321, 922, 916, 890.

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}.