Given numbers are 349,530,440,600,432

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

The LCM of 349,530,440,600,432 is 2197443600.

Find LCM of 349,530,440,600,432 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 349 x 53 x 11 x 5 x 18 = 2197443600

Therefore, the lowest common multiple of 349,530,440,600,432 is 2197443600.

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.

349 x 530 x 440 x 600 x 432 = 21095458560000

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.

349 : 1, 349

530 : 1, 2, 5, 10, 53, 106, 265, 530

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,530,440,600,432, is 1.

Now, the common factors can be found like this.

349:349

530:2x 5x 53

440:2x 2x 2x 5x 11

600:2x 2x 2x 3x 5x 5

432:2x 2x 2x 2x 3x 3x 3

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 2x 3x 5x 5 = 9600

Therefore, the value for common factors is 9600.

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 = 21095458560000/(1x9600)

LCM = 21095458560000/9600

LCM = 2197443600

Thus, we can understand that the LCM of 349,530,440,600,432 is 2197443600.

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

• LCM of 610, 520, 317, 977, 387
• LCM of 799, 770, 931, 912, 267
• LCM of 503, 601, 668, 977, 230
• LCM of 621, 327, 405, 538, 331
• LCM of 820, 381, 212, 546, 300

1. What is the LCM of 349, 530, 440, 600, 432?

Answer: LCM of 349, 530, 440, 600, 432 is 2197443600.

2. How to calculate the LCM of 349, 530, 440, 600, 432?

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 349, 530, 440, 600, 432.

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}.