Given numbers are 540,591,609,520

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

The LCM of 540,591,609,520 is 561473640.

Find LCM of 540,591,609,520 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 197 x 203 x 26 = 561473640

Therefore, the lowest common multiple of 540,591,609,520 is 561473640.

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 591 x 609 x 520 = 101065255200

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

591 : 1, 3, 197, 591

609 : 1, 3, 7, 21, 29, 87, 203, 609

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,591,609,520, is 1.

Now, the common factors can be found like this.

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

591:3x 197

609:3x 7x 29

520:2x 2x 2x 5x 13

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 = 101065255200/(1x180)

LCM = 101065255200/180

LCM = 561473640

Thus, we can understand that the LCM of 540,591,609,520 is 561473640.

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

• LCM of 332, 742, 783, 101
• LCM of 138, 726, 809, 222
• LCM of 936, 125, 589, 864
• LCM of 165, 761, 899, 692
• LCM of 270, 489, 702, 654

1. What is the LCM of 540, 591, 609, 520?

Answer: LCM of 540, 591, 609, 520 is 561473640.

2. How to calculate the LCM of 540, 591, 609, 520?

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, 591, 609, 520.

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}.