Given numbers are 422,770,380,614

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

The LCM of 422,770,380,614 is 1895375020.

Find LCM of 422,770,380,614 with Prime Factorization

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

2 x 5 x 211 x 77 x 38 x 307 = 1895375020

Therefore, the lowest common multiple of 422,770,380,614 is 1895375020.

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.

422 x 770 x 380 x 614 = 75815000800

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.

422 : 1, 2, 211, 422

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,770,380,614, is 2.

Now, the common factors can be found like this.

422:2x 211

770:2x 5x 7x 11

380:2x 2x 5x 19

614:2x 307

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 5 = 20

Therefore, the value for common factors is 20.

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 = 75815000800/(2x20)

LCM = 75815000800/40

LCM = 1895375020

Thus, we can understand that the LCM of 422,770,380,614 is 1895375020.

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

• LCM of 203, 655, 887, 627
• LCM of 653, 619, 591, 504
• LCM of 309, 670, 400, 803
• LCM of 256, 535, 967, 307
• LCM of 590, 142, 665, 503

1. What is the LCM of 422, 770, 380, 614?

Answer: LCM of 422, 770, 380, 614 is 1895375020.

2. How to calculate the LCM of 422, 770, 380, 614?

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 422, 770, 380, 614.

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}.