Given numbers are 540,357,873,867,255

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

The LCM of 540,357,873,867,255 is 105964740.

Find LCM of 540,357,873,867,255 with Prime Factorization

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

3 x 3 x 5 x 17 x 12 x 7 x 97 x 1 x 17 = 105964740

Therefore, the lowest common multiple of 540,357,873,867,255 is 105964740.

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 357 x 873 x 867 x 255 = 37207928979900

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

873 : 1, 3, 9, 97, 291, 873

867 : 1, 3, 17, 51, 289, 867

255 : 1, 3, 5, 15, 17, 51, 85, 255

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,357,873,867,255, is 3.

Now, the common factors can be found like this.

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

357:3x 7x 17

873:3x 3x 97

867:3x 17x 17

255:3x 5x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 5x 17x 17 = 117045

Therefore, the value for common factors is 117045.

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 = 37207928979900/(3x117045)

LCM = 37207928979900/351135

LCM = 105964740

Thus, we can understand that the LCM of 540,357,873,867,255 is 105964740.

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

• LCM of 716, 774, 941, 132, 846
• LCM of 755, 909, 551, 425, 257
• LCM of 826, 298, 199, 577, 494
• LCM of 993, 644, 621, 307, 384
• LCM of 518, 746, 898, 366, 526

1. What is the LCM of 540, 357, 873, 867, 255?

Answer: LCM of 540, 357, 873, 867, 255 is 105964740.

2. How to calculate the LCM of 540, 357, 873, 867, 255?

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, 357, 873, 867, 255.

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}.