Given numbers are 364,303,540,492,129

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

The LCM of 364,303,540,492,129 is 8750015820.

Find LCM of 364,303,540,492,129 with Prime Factorization

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

2 x 2 x 3 x 91 x 101 x 45 x 41 x 43 = 8750015820

Therefore, the lowest common multiple of 364,303,540,492,129 is 8750015820.

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.

364 x 303 x 540 x 492 x 129 = 3780006834240

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

303 : 1, 3, 101, 303

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,303,540,492,129, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

303:3x 101

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

492:2x 2x 3x 41

129:3x 43

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 = 3780006834240/(1x432)

LCM = 3780006834240/432

LCM = 8750015820

Thus, we can understand that the LCM of 364,303,540,492,129 is 8750015820.

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

• LCM of 379, 277, 587, 870, 290
• LCM of 545, 764, 221, 550, 767
• LCM of 900, 838, 451, 237, 232
• LCM of 310, 666, 796, 514, 565
• LCM of 455, 635, 410, 433, 886

1. What is the LCM of 364, 303, 540, 492, 129?

Answer: LCM of 364, 303, 540, 492, 129 is 8750015820.

2. How to calculate the LCM of 364, 303, 540, 492, 129?

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 364, 303, 540, 492, 129.

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}.