Given numbers are 566,344,150,214

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

The LCM of 566,344,150,214 is 781249800.

Find LCM of 566,344,150,214 with Prime Factorization

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

2 x 283 x 172 x 75 x 107 = 781249800

Therefore, the lowest common multiple of 566,344,150,214 is 781249800.

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.

566 x 344 x 150 x 214 = 6249998400

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.

566 : 1, 2, 283, 566

344 : 1, 2, 4, 8, 43, 86, 172, 344

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,344,150,214, is 2.

Now, the common factors can be found like this.

566:2x 283

344:2x 2x 2x 43

150:2x 3x 5x 5

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6249998400/(2x4)

LCM = 6249998400/8

LCM = 781249800

Thus, we can understand that the LCM of 566,344,150,214 is 781249800.

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

• LCM of 113, 360, 968, 295
• LCM of 818, 240, 182, 636
• LCM of 464, 300, 331, 436
• LCM of 858, 366, 636, 731
• LCM of 938, 270, 945, 157

1. What is the LCM of 566, 344, 150, 214?

Answer: LCM of 566, 344, 150, 214 is 781249800.

2. How to calculate the LCM of 566, 344, 150, 214?

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 566, 344, 150, 214.

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}.