Given numbers are 540,484,764,924,213

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

The LCM of 540,484,764,924,213 is 6202530180.

Find LCM of 540,484,764,924,213 with Prime Factorization

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

2 x 2 x 3 x 11 x 45 x 11 x 191 x 7 x 71 = 6202530180

Therefore, the lowest common multiple of 540,484,764,924,213 is 6202530180.

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 484 x 764 x 924 x 213 = 39299231220480

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

764 : 1, 2, 4, 191, 382, 764

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,484,764,924,213, is 1.

Now, the common factors can be found like this.

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

484:2x 2x 11x 11

764:2x 2x 191

924:2x 2x 3x 7x 11

213:3x 71

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 2x 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 39299231220480/(1x6336)

LCM = 39299231220480/6336

LCM = 6202530180

Thus, we can understand that the LCM of 540,484,764,924,213 is 6202530180.

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

• LCM of 543, 366, 240, 132, 318
• LCM of 862, 927, 195, 647, 225
• LCM of 734, 431, 453, 420, 451
• LCM of 113, 924, 647, 542, 475
• LCM of 617, 136, 699, 540, 411

1. What is the LCM of 540, 484, 764, 924, 213?

Answer: LCM of 540, 484, 764, 924, 213 is 6202530180.

2. How to calculate the LCM of 540, 484, 764, 924, 213?

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, 484, 764, 924, 213.

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}.