Given numbers are 422,120,420,776

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

The LCM of 422,120,420,776 is 17192280.

Find LCM of 422,120,420,776 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 211 x 1 x 7 x 97 = 17192280

Therefore, the lowest common multiple of 422,120,420,776 is 17192280.

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 120 x 420 x 776 = 16504588800

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

776 : 1, 2, 4, 8, 97, 194, 388, 776

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,120,420,776, is 2.

Now, the common factors can be found like this.

422:2x 211

120:2x 2x 2x 3x 5

420:2x 2x 3x 5x 7

776:2x 2x 2x 97

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 2x 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 16504588800/(2x480)

LCM = 16504588800/960

LCM = 17192280

Thus, we can understand that the LCM of 422,120,420,776 is 17192280.

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

• LCM of 208, 900, 132, 916
• LCM of 618, 488, 101, 990
• LCM of 771, 152, 325, 543
• LCM of 449, 586, 612, 799
• LCM of 350, 360, 723, 505

1. What is the LCM of 422, 120, 420, 776?

Answer: LCM of 422, 120, 420, 776 is 17192280.

2. How to calculate the LCM of 422, 120, 420, 776?

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, 120, 420, 776.

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}.