Given numbers are 540,406,471,828

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

The LCM of 540,406,471,828 is 395837820.

Find LCM of 540,406,471,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 203 x 157 x 23 = 395837820

Therefore, the lowest common multiple of 540,406,471,828 is 395837820.

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 406 x 471 x 828 = 85500969120

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

471 : 1, 3, 157, 471

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,406,471,828, is 1.

Now, the common factors can be found like this.

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

406:2x 7x 29

471:3x 157

828:2x 2x 3x 3x 23

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 85500969120/(1x216)

LCM = 85500969120/216

LCM = 395837820

Thus, we can understand that the LCM of 540,406,471,828 is 395837820.

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

• LCM of 375, 660, 809, 569
• LCM of 155, 149, 222, 290
• LCM of 793, 800, 235, 518
• LCM of 651, 763, 428, 780
• LCM of 128, 372, 791, 822

1. What is the LCM of 540, 406, 471, 828?

Answer: LCM of 540, 406, 471, 828 is 395837820.

2. How to calculate the LCM of 540, 406, 471, 828?

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, 406, 471, 828.

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}.