Given numbers are 684,146,566,596

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

The LCM of 684,146,566,596 is 2105482644.

Find LCM of 684,146,566,596 with Prime Factorization

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

2 x 2 x 171 x 73 x 283 x 149 = 2105482644

Therefore, the lowest common multiple of 684,146,566,596 is 2105482644.

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 146 x 566 x 596 = 33687722304

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

146 : 1, 2, 73, 146

566 : 1, 2, 283, 566

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 684,146,566,596, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

146:2x 73

566:2x 283

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 2 = 8

Therefore, the value for common factors is 8.

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 = 33687722304/(2x8)

LCM = 33687722304/16

LCM = 2105482644

Thus, we can understand that the LCM of 684,146,566,596 is 2105482644.

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

• LCM of 752, 239, 781, 953
• LCM of 961, 977, 658, 695
• LCM of 263, 931, 610, 313
• LCM of 967, 364, 163, 805
• LCM of 168, 433, 360, 421

1. What is the LCM of 684, 146, 566, 596?

Answer: LCM of 684, 146, 566, 596 is 2105482644.

2. How to calculate the LCM of 684, 146, 566, 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 684, 146, 566, 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}.