Given numbers are 677,817,171,368,422

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

The LCM of 677,817,171,368,422 is 386530268688.

Find LCM of 677,817,171,368,422 with Prime Factorization

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

2 x 19 x 677 x 43 x 9 x 184 x 211 = 386530268688

Therefore, the lowest common multiple of 677,817,171,368,422 is 386530268688.

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.

677 x 817 x 171 x 368 x 422 = 14688150210144

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.

677 : 1, 677

817 : 1, 19, 43, 817

171 : 1, 3, 9, 19, 57, 171

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,817,171,368,422, is 1.

Now, the common factors can be found like this.

677:677

817:19x 43

171:3x 3x 19

368:2x 2x 2x 2x 23

422:2x 211

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 14688150210144/(1x38)

LCM = 14688150210144/38

LCM = 386530268688

Thus, we can understand that the LCM of 677,817,171,368,422 is 386530268688.

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

• LCM of 174, 692, 343, 380, 653
• LCM of 274, 304, 605, 933, 897
• LCM of 818, 149, 262, 477, 895
• LCM of 981, 818, 364, 792, 364
• LCM of 450, 682, 178, 764, 742

1. What is the LCM of 677, 817, 171, 368, 422?

Answer: LCM of 677, 817, 171, 368, 422 is 386530268688.

2. How to calculate the LCM of 677, 817, 171, 368, 422?

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 677, 817, 171, 368, 422.

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}.