Given numbers are 684,393,360,546

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

The LCM of 684,393,360,546 is 81539640.

Find LCM of 684,393,360,546 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 131 x 10 x 91 = 81539640

Therefore, the lowest common multiple of 684,393,360,546 is 81539640.

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 393 x 360 x 546 = 52837686720

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

393 : 1, 3, 131, 393

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,393,360,546, is 3.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

393:3x 131

360:2x 2x 2x 3x 3x 5

546:2x 3x 7x 13

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 52837686720/(3x216)

LCM = 52837686720/648

LCM = 81539640

Thus, we can understand that the LCM of 684,393,360,546 is 81539640.

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

• LCM of 574, 680, 447, 263
• LCM of 764, 323, 617, 880
• LCM of 153, 278, 724, 610
• LCM of 134, 325, 816, 630
• LCM of 205, 656, 274, 122

1. What is the LCM of 684, 393, 360, 546?

Answer: LCM of 684, 393, 360, 546 is 81539640.

2. How to calculate the LCM of 684, 393, 360, 546?

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, 393, 360, 546.

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}.