Given numbers are 540,700,566,365

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

The LCM of 540,700,566,365 is 390455100.

Find LCM of 540,700,566,365 with Prime Factorization

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

2 x 2 x 5 x 27 x 35 x 283 x 73 = 390455100

Therefore, the lowest common multiple of 540,700,566,365 is 390455100.

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 700 x 566 x 365 = 78091020000

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

566 : 1, 2, 283, 566

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,700,566,365, is 1.

Now, the common factors can be found like this.

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

700:2x 2x 5x 5x 7

566:2x 283

365:5x 73

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 78091020000/(1x200)

LCM = 78091020000/200

LCM = 390455100

Thus, we can understand that the LCM of 540,700,566,365 is 390455100.

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

• LCM of 338, 716, 733, 916
• LCM of 840, 926, 491, 734
• LCM of 686, 399, 626, 509
• LCM of 158, 426, 559, 457
• LCM of 134, 523, 192, 641

1. What is the LCM of 540, 700, 566, 365?

Answer: LCM of 540, 700, 566, 365 is 390455100.

2. How to calculate the LCM of 540, 700, 566, 365?

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, 700, 566, 365.

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}.