Given numbers are 684,214,548,432

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

The LCM of 684,214,548,432 is 120321072.

Find LCM of 684,214,548,432 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 107 x 137 x 12 = 120321072

Therefore, the lowest common multiple of 684,214,548,432 is 120321072.

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.

684 x 214 x 548 x 432 = 34652468736

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

214 : 1, 2, 107, 214

548 : 1, 2, 4, 137, 274, 548

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,214,548,432, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

214:2x 107

548:2x 2x 137

432:2x 2x 2x 2x 3x 3x 3

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 34652468736/(2x144)

LCM = 34652468736/288

LCM = 120321072

Thus, we can understand that the LCM of 684,214,548,432 is 120321072.

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

• LCM of 416, 923, 342, 212
• LCM of 474, 870, 483, 744
• LCM of 186, 128, 229, 364
• LCM of 840, 333, 510, 933
• LCM of 983, 820, 431, 501

1. What is the LCM of 684, 214, 548, 432?

Answer: LCM of 684, 214, 548, 432 is 120321072.

2. How to calculate the LCM of 684, 214, 548, 432?

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 684, 214, 548, 432.

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}.