Given numbers are 206,750,393,540

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

The LCM of 206,750,393,540 is 182155500.

Find LCM of 206,750,393,540 with Prime Factorization

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

2 x 3 x 5 x 103 x 25 x 131 x 18 = 182155500

Therefore, the lowest common multiple of 206,750,393,540 is 182155500.

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.

206 x 750 x 393 x 540 = 32787990000

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.

206 : 1, 2, 103, 206

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

393 : 1, 3, 131, 393

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,750,393,540, is 1.

Now, the common factors can be found like this.

206:2x 103

750:2x 3x 5x 5x 5

393:3x 131

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

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 32787990000/(1x180)

LCM = 32787990000/180

LCM = 182155500

Thus, we can understand that the LCM of 206,750,393,540 is 182155500.

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

• LCM of 688, 162, 657, 342
• LCM of 246, 820, 739, 279
• LCM of 311, 688, 443, 521
• LCM of 229, 941, 560, 674
• LCM of 834, 579, 439, 929

1. What is the LCM of 206, 750, 393, 540?

Answer: LCM of 206, 750, 393, 540 is 182155500.

2. How to calculate the LCM of 206, 750, 393, 540?

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 206, 750, 393, 540.

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}.