Given numbers are 872,123,135,566

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

The LCM of 872,123,135,566 is 1365905160.

Find LCM of 872,123,135,566 with Prime Factorization

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

2 x 3 x 436 x 41 x 45 x 283 = 1365905160

Therefore, the lowest common multiple of 872,123,135,566 is 1365905160.

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.

872 x 123 x 135 x 566 = 8195430960

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

123 : 1, 3, 41, 123

135 : 1, 3, 5, 9, 15, 27, 45, 135

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,123,135,566, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

123:3x 41

135:3x 3x 3x 5

566:2x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8195430960/(1x6)

LCM = 8195430960/6

LCM = 1365905160

Thus, we can understand that the LCM of 872,123,135,566 is 1365905160.

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

• LCM of 697, 417, 284, 721
• LCM of 576, 493, 794, 851
• LCM of 211, 120, 762, 969
• LCM of 967, 313, 541, 867
• LCM of 596, 452, 685, 887

1. What is the LCM of 872, 123, 135, 566?

Answer: LCM of 872, 123, 135, 566 is 1365905160.

2. How to calculate the LCM of 872, 123, 135, 566?

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 872, 123, 135, 566.

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}.