Given numbers are 540,387,484,772,616

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

The LCM of 540,387,484,772,616 is 7591593240.

Find LCM of 540,387,484,772,616 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 15 x 43 x 11 x 193 x 14 = 7591593240

Therefore, the lowest common multiple of 540,387,484,772,616 is 7591593240.

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 387 x 484 x 772 x 616 = 48100334768640

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

387 : 1, 3, 9, 43, 129, 387

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

772 : 1, 2, 4, 193, 386, 772

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,387,484,772,616, is 1.

Now, the common factors can be found like this.

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

387:3x 3x 43

484:2x 2x 11x 11

772:2x 2x 193

616:2x 2x 2x 7x 11

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 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 48100334768640/(1x6336)

LCM = 48100334768640/6336

LCM = 7591593240

Thus, we can understand that the LCM of 540,387,484,772,616 is 7591593240.

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

• LCM of 918, 286, 151, 595, 328
• LCM of 529, 484, 769, 332, 185
• LCM of 765, 391, 578, 385, 555
• LCM of 155, 365, 267, 432, 849
• LCM of 632, 538, 853, 841, 853

1. What is the LCM of 540, 387, 484, 772, 616?

Answer: LCM of 540, 387, 484, 772, 616 is 7591593240.

2. How to calculate the LCM of 540, 387, 484, 772, 616?

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, 387, 484, 772, 616.

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}.