Given numbers are 336,728,374,596

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

The LCM of 336,728,374,596 is 121705584.

Find LCM of 336,728,374,596 with Prime Factorization

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

2 x 2 x 2 x 7 x 6 x 13 x 187 x 149 = 121705584

Therefore, the lowest common multiple of 336,728,374,596 is 121705584.

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.

336 x 728 x 374 x 596 = 54524101632

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

374 : 1, 2, 11, 17, 22, 34, 187, 374

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,728,374,596, is 2.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

728:2x 2x 2x 7x 13

374:2x 11x 17

596:2x 2x 149

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 2x 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 54524101632/(2x224)

LCM = 54524101632/448

LCM = 121705584

Thus, we can understand that the LCM of 336,728,374,596 is 121705584.

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

• LCM of 799, 240, 590, 667
• LCM of 236, 288, 767, 684
• LCM of 258, 743, 454, 700
• LCM of 204, 538, 926, 130
• LCM of 783, 874, 146, 831

1. What is the LCM of 336, 728, 374, 596?

Answer: LCM of 336, 728, 374, 596 is 121705584.

2. How to calculate the LCM of 336, 728, 374, 596?

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 336, 728, 374, 596.

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}.