Given numbers are 782,312,413,329

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

The LCM of 782,312,413,329 is 2367986712.

Find LCM of 782,312,413,329 with Prime Factorization

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

2 x 7 x 391 x 156 x 59 x 47 = 2367986712

Therefore, the lowest common multiple of 782,312,413,329 is 2367986712.

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.

782 x 312 x 413 x 329 = 33151813968

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

413 : 1, 7, 59, 413

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,312,413,329, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

312:2x 2x 2x 3x 13

413:7x 59

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 = 33151813968/(1x14)

LCM = 33151813968/14

LCM = 2367986712

Thus, we can understand that the LCM of 782,312,413,329 is 2367986712.

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

• LCM of 749, 427, 619, 493
• LCM of 259, 555, 770, 318
• LCM of 773, 322, 653, 958
• LCM of 207, 221, 413, 224
• LCM of 229, 699, 670, 773

1. What is the LCM of 782, 312, 413, 329?

Answer: LCM of 782, 312, 413, 329 is 2367986712.

2. How to calculate the LCM of 782, 312, 413, 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 782, 312, 413, 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}.