Given numbers are 540,543,252,204

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

The LCM of 540,543,252,204 is 11631060.

Find LCM of 540,543,252,204 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 181 x 7 x 17 = 11631060

Therefore, the lowest common multiple of 540,543,252,204 is 11631060.

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 543 x 252 x 204 = 15073853760

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

543 : 1, 3, 181, 543

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,543,252,204, is 3.

Now, the common factors can be found like this.

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

543:3x 181

252:2x 2x 3x 3x 7

204:2x 2x 3x 17

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 3 = 432

Therefore, the value for common factors is 432.

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 = 15073853760/(3x432)

LCM = 15073853760/1296

LCM = 11631060

Thus, we can understand that the LCM of 540,543,252,204 is 11631060.

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

• LCM of 290, 969, 532, 951
• LCM of 954, 147, 808, 188
• LCM of 662, 460, 516, 908
• LCM of 113, 405, 440, 649
• LCM of 287, 399, 590, 139

1. What is the LCM of 540, 543, 252, 204?

Answer: LCM of 540, 543, 252, 204 is 11631060.

2. How to calculate the LCM of 540, 543, 252, 204?

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, 543, 252, 204.

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}.