Given numbers are 684,248,540,549

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

The LCM of 684,248,540,549 is 38803320.

Find LCM of 684,248,540,549 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 62 x 15 x 61 = 38803320

Therefore, the lowest common multiple of 684,248,540,549 is 38803320.

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 248 x 540 x 549 = 50289102720

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,248,540,549, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

248:2x 2x 2x 31

540:2x 2x 3x 3x 3x 5

549:3x 3x 61

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 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 50289102720/(1x1296)

LCM = 50289102720/1296

LCM = 38803320

Thus, we can understand that the LCM of 684,248,540,549 is 38803320.

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

• LCM of 464, 792, 858, 223
• LCM of 424, 258, 502, 899
• LCM of 912, 428, 993, 189
• LCM of 545, 901, 827, 276
• LCM of 714, 345, 287, 582

1. What is the LCM of 684, 248, 540, 549?

Answer: LCM of 684, 248, 540, 549 is 38803320.

2. How to calculate the LCM of 684, 248, 540, 549?

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, 248, 540, 549.

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}.