Given numbers are 540,280,404,305,331

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

The LCM of 540,280,404,305,331 is 15417039960.

Find LCM of 540,280,404,305,331 with Prime Factorization

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

2 x 2 x 5 x 27 x 14 x 101 x 61 x 331 = 15417039960

Therefore, the lowest common multiple of 540,280,404,305,331 is 15417039960.

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.

540 x 280 x 404 x 305 x 331 = 6166815984000

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.

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

404 : 1, 2, 4, 101, 202, 404

305 : 1, 5, 61, 305

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,280,404,305,331, is 1.

Now, the common factors can be found like this.

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

280:2x 2x 2x 5x 7

404:2x 2x 101

305:5x 61

331:331

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 6166815984000/(1x400)

LCM = 6166815984000/400

LCM = 15417039960

Thus, we can understand that the LCM of 540,280,404,305,331 is 15417039960.

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

• LCM of 748, 883, 270, 677, 106
• LCM of 280, 868, 352, 341, 911
• LCM of 682, 884, 333, 638, 930
• LCM of 400, 483, 339, 185, 525
• LCM of 951, 593, 155, 797, 266

1. What is the LCM of 540, 280, 404, 305, 331?

Answer: LCM of 540, 280, 404, 305, 331 is 15417039960.

2. How to calculate the LCM of 540, 280, 404, 305, 331?

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 540, 280, 404, 305, 331.

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}.