Given numbers are 548,149,900,447,442

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

The LCM of 548,149,900,447,442 is 4060145700.

Find LCM of 548,149,900,447,442 with Prime Factorization

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

2 x 2 x 3 x 149 x 137 x 1 x 75 x 1 x 221 = 4060145700

Therefore, the lowest common multiple of 548,149,900,447,442 is 4060145700.

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 149 x 900 x 447 x 442 = 14519081023200

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

149 : 1, 149

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

447 : 1, 3, 149, 447

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,149,900,447,442, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

149:149

900:2x 2x 3x 3x 5x 5

447:3x 149

442:2x 13x 17

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 149 = 3576

Therefore, the value for common factors is 3576.

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 = 14519081023200/(1x3576)

LCM = 14519081023200/3576

LCM = 4060145700

Thus, we can understand that the LCM of 548,149,900,447,442 is 4060145700.

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

• LCM of 804, 650, 118, 405, 829
• LCM of 142, 266, 683, 302, 543
• LCM of 957, 876, 424, 906, 636
• LCM of 744, 978, 679, 157, 647
• LCM of 395, 883, 582, 204, 220

1. What is the LCM of 548, 149, 900, 447, 442?

Answer: LCM of 548, 149, 900, 447, 442 is 4060145700.

2. How to calculate the LCM of 548, 149, 900, 447, 442?

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, 149, 900, 447, 442.

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}.