Given numbers are 422,128,779,414,210

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

The LCM of 422,128,779,414,210 is 152429235840.

Find LCM of 422,128,779,414,210 with Prime Factorization

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

2 x 3 x 211 x 64 x 779 x 69 x 35 = 152429235840

Therefore, the lowest common multiple of 422,128,779,414,210 is 152429235840.

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 128 x 779 x 414 x 210 = 3658301660160

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

779 : 1, 19, 41, 779

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,128,779,414,210, is 1.

Now, the common factors can be found like this.

422:2x 211

128:2x 2x 2x 2x 2x 2x 2

779:19x 41

414:2x 3x 3x 23

210:2x 3x 5x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3658301660160/(1x24)

LCM = 3658301660160/24

LCM = 152429235840

Thus, we can understand that the LCM of 422,128,779,414,210 is 152429235840.

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

• LCM of 241, 235, 379, 736, 773
• LCM of 332, 317, 219, 655, 723
• LCM of 249, 113, 912, 168, 337
• LCM of 222, 480, 662, 487, 950
• LCM of 662, 120, 558, 592, 808

1. What is the LCM of 422, 128, 779, 414, 210?

Answer: LCM of 422, 128, 779, 414, 210 is 152429235840.

2. How to calculate the LCM of 422, 128, 779, 414, 210?

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, 128, 779, 414, 210.

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}.