Given numbers are 400,540,328,755

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

The LCM of 400,540,328,755 is 66862800.

Find LCM of 400,540,328,755 with Prime Factorization

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

2 x 2 x 2 x 5 x 10 x 27 x 41 x 151 = 66862800

Therefore, the lowest common multiple of 400,540,328,755 is 66862800.

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.

400 x 540 x 328 x 755 = 53490240000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

328 : 1, 2, 4, 8, 41, 82, 164, 328

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,540,328,755, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

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

328:2x 2x 2x 41

755:5x 151

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 53490240000/(1x800)

LCM = 53490240000/800

LCM = 66862800

Thus, we can understand that the LCM of 400,540,328,755 is 66862800.

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

• LCM of 928, 835, 762, 360
• LCM of 984, 712, 374, 492
• LCM of 433, 117, 176, 314
• LCM of 308, 729, 274, 684
• LCM of 636, 487, 949, 765

1. What is the LCM of 400, 540, 328, 755?

Answer: LCM of 400, 540, 328, 755 is 66862800.

2. How to calculate the LCM of 400, 540, 328, 755?

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 400, 540, 328, 755.

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}.