Given numbers are 742,200,866

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

The LCM of 742,200,866 is 32128600.

Find LCM of 742,200,866 with Prime Factorization

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

2 x 371 x 100 x 433 = 32128600

Therefore, the lowest common multiple of 742,200,866 is 32128600.

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.

742 x 200 x 866 = 128514400

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

866 : 1, 2, 433, 866

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,200,866, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

200:2x 2x 2x 5x 5

866:2x 433

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

2 = 2

Therefore, the value for common factors is 2.

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 = 128514400/(2x2)

LCM = 128514400/4

LCM = 32128600

Thus, we can understand that the LCM of 742,200,866 is 32128600.

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

• LCM of 273, 337, 723
• LCM of 690, 982, 393
• LCM of 181, 807, 659
• LCM of 807, 101, 924
• LCM of 330, 424, 338

1. What is the LCM of 742, 200, 866?

Answer: LCM of 742, 200, 866 is 32128600.

2. How to calculate the LCM of 742, 200, 866?

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 742, 200, 866.

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}.