Given numbers are 548,216,736,517,409

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

The LCM of 548,216,736,517,409 is 575673180192.

Find LCM of 548,216,736,517,409 with Prime Factorization

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

2 x 2 x 2 x 137 x 27 x 92 x 517 x 409 = 575673180192

Therefore, the lowest common multiple of 548,216,736,517,409 is 575673180192.

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.

548 x 216 x 736 x 517 x 409 = 18421541766144

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.

548 : 1, 2, 4, 137, 274, 548

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

517 : 1, 11, 47, 517

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,216,736,517,409, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

216:2x 2x 2x 3x 3x 3

736:2x 2x 2x 2x 2x 23

517:11x 47

409:409

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 2 = 32

Therefore, the value for common factors is 32.

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 = 18421541766144/(1x32)

LCM = 18421541766144/32

LCM = 575673180192

Thus, we can understand that the LCM of 548,216,736,517,409 is 575673180192.

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

• LCM of 328, 746, 907, 611, 250
• LCM of 426, 210, 175, 616, 932
• LCM of 809, 568, 959, 126, 819
• LCM of 156, 620, 394, 948, 659
• LCM of 440, 757, 301, 120, 665

1. What is the LCM of 548, 216, 736, 517, 409?

Answer: LCM of 548, 216, 736, 517, 409 is 575673180192.

2. How to calculate the LCM of 548, 216, 736, 517, 409?

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 548, 216, 736, 517, 409.

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}.