Given numbers are 746,800,366

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

The LCM of 746,800,366 is 54607200.

Find LCM of 746,800,366 with Prime Factorization

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

2 x 373 x 400 x 183 = 54607200

Therefore, the lowest common multiple of 746,800,366 is 54607200.

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.

746 x 800 x 366 = 218428800

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.

746 : 1, 2, 373, 746

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

366 : 1, 2, 3, 6, 61, 122, 183, 366

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,800,366, is 2.

Now, the common factors can be found like this.

746:2x 373

800:2x 2x 2x 2x 2x 5x 5

366:2x 3x 61

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 = 218428800/(2x2)

LCM = 218428800/4

LCM = 54607200

Thus, we can understand that the LCM of 746,800,366 is 54607200.

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

• LCM of 743, 816, 119
• LCM of 181, 555, 704
• LCM of 505, 784, 294
• LCM of 230, 182, 299
• LCM of 954, 517, 307

1. What is the LCM of 746, 800, 366?

Answer: LCM of 746, 800, 366 is 54607200.

2. How to calculate the LCM of 746, 800, 366?

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 746, 800, 366.

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}.