Given numbers are 861,426,882,504,407

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

The LCM of 861,426,882,504,407 is 4179893256.

Find LCM of 861,426,882,504,407 with Prime Factorization

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

2 x 3 x 3 x 7 x 41 x 71 x 7 x 4 x 407 = 4179893256

Therefore, the lowest common multiple of 861,426,882,504,407 is 4179893256.

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.

861 x 426 x 882 x 504 x 407 = 66359985332256

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

426 : 1, 2, 3, 6, 71, 142, 213, 426

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,426,882,504,407, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

426:2x 3x 71

882:2x 3x 3x 7x 7

504:2x 2x 2x 3x 3x 7

407:11x 37

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 3x 3x 7x 7 = 15876

Therefore, the value for common factors is 15876.

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 = 66359985332256/(1x15876)

LCM = 66359985332256/15876

LCM = 4179893256

Thus, we can understand that the LCM of 861,426,882,504,407 is 4179893256.

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

• LCM of 108, 504, 683, 882, 598
• LCM of 464, 962, 187, 969, 897
• LCM of 631, 549, 880, 757, 913
• LCM of 593, 809, 217, 859, 984
• LCM of 383, 570, 794, 814, 704

1. What is the LCM of 861, 426, 882, 504, 407?

Answer: LCM of 861, 426, 882, 504, 407 is 4179893256.

2. How to calculate the LCM of 861, 426, 882, 504, 407?

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 861, 426, 882, 504, 407.

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}.