Given numbers are 422,415,308,329

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

The LCM of 422,415,308,329 is 1267590940.

Find LCM of 422,415,308,329 with Prime Factorization

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

2 x 7 x 211 x 415 x 22 x 47 = 1267590940

Therefore, the lowest common multiple of 422,415,308,329 is 1267590940.

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 415 x 308 x 329 = 17746273160

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

415 : 1, 5, 83, 415

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,415,308,329, is 1.

Now, the common factors can be found like this.

422:2x 211

415:5x 83

308:2x 2x 7x 11

329:7x 47

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 17746273160/(1x14)

LCM = 17746273160/14

LCM = 1267590940

Thus, we can understand that the LCM of 422,415,308,329 is 1267590940.

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

• LCM of 719, 196, 264, 672
• LCM of 776, 870, 716, 562
• LCM of 875, 480, 902, 595
• LCM of 833, 392, 819, 873
• LCM of 417, 555, 773, 948

1. What is the LCM of 422, 415, 308, 329?

Answer: LCM of 422, 415, 308, 329 is 1267590940.

2. How to calculate the LCM of 422, 415, 308, 329?

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, 415, 308, 329.

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}.