Given numbers are 329,579,414,249,772

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

The LCM of 329,579,414,249,772 is 4363767828.

Find LCM of 329,579,414,249,772 with Prime Factorization

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

2 x 3 x 193 x 329 x 1 x 69 x 83 x 2 = 4363767828

Therefore, the lowest common multiple of 329,579,414,249,772 is 4363767828.

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.

329 x 579 x 414 x 249 x 772 = 15159729434472

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.

329 : 1, 7, 47, 329

579 : 1, 3, 193, 579

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

249 : 1, 3, 83, 249

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,579,414,249,772, is 1.

Now, the common factors can be found like this.

329:7x 47

579:3x 193

414:2x 3x 3x 23

249:3x 83

772:2x 2x 193

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

2x 3x 3x 193 = 3474

Therefore, the value for common factors is 3474.

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 = 15159729434472/(1x3474)

LCM = 15159729434472/3474

LCM = 4363767828

Thus, we can understand that the LCM of 329,579,414,249,772 is 4363767828.

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

• LCM of 506, 815, 918, 102, 995
• LCM of 663, 540, 513, 258, 435
• LCM of 991, 202, 605, 942, 578
• LCM of 174, 446, 298, 429, 307
• LCM of 566, 287, 288, 970, 114

1. What is the LCM of 329, 579, 414, 249, 772?

Answer: LCM of 329, 579, 414, 249, 772 is 4363767828.

2. How to calculate the LCM of 329, 579, 414, 249, 772?

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 329, 579, 414, 249, 772.

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}.