Given numbers are 548,604,214,828

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

The LCM of 548,604,214,828 is 1832785452.

Find LCM of 548,604,214,828 with Prime Factorization

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

2 x 2 x 137 x 151 x 107 x 207 = 1832785452

Therefore, the lowest common multiple of 548,604,214,828 is 1832785452.

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 604 x 214 x 828 = 58649134464

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

604 : 1, 2, 4, 151, 302, 604

214 : 1, 2, 107, 214

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,604,214,828, is 2.

Now, the common factors can be found like this.

548:2x 2x 137

604:2x 2x 151

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 58649134464/(2x16)

LCM = 58649134464/32

LCM = 1832785452

Thus, we can understand that the LCM of 548,604,214,828 is 1832785452.

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

• LCM of 369, 161, 765, 604
• LCM of 971, 583, 408, 919
• LCM of 779, 218, 933, 283
• LCM of 167, 932, 259, 809
• LCM of 869, 448, 281, 550

1. What is the LCM of 548, 604, 214, 828?

Answer: LCM of 548, 604, 214, 828 is 1832785452.

2. How to calculate the LCM of 548, 604, 214, 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 548, 604, 214, 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}.