Given numbers are 574,431,412,150

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

The LCM of 574,431,412,150 is 3822237300.

Find LCM of 574,431,412,150 with Prime Factorization

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

2 x 287 x 431 x 206 x 75 = 3822237300

Therefore, the lowest common multiple of 574,431,412,150 is 3822237300.

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.

574 x 431 x 412 x 150 = 15288949200

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

431 : 1, 431

412 : 1, 2, 4, 103, 206, 412

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,431,412,150, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

431:431

412:2x 2x 103

150:2x 3x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15288949200/(1x4)

LCM = 15288949200/4

LCM = 3822237300

Thus, we can understand that the LCM of 574,431,412,150 is 3822237300.

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

• LCM of 403, 397, 554, 289
• LCM of 900, 919, 162, 921
• LCM of 535, 512, 333, 888
• LCM of 151, 138, 880, 603
• LCM of 262, 525, 516, 435

1. What is the LCM of 574, 431, 412, 150?

Answer: LCM of 574, 431, 412, 150 is 3822237300.

2. How to calculate the LCM of 574, 431, 412, 150?

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 574, 431, 412, 150.

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}.