Given numbers are 192,552,566,407,375

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

The LCM of 192,552,566,407,375 is 63579912000.

Find LCM of 192,552,566,407,375 with Prime Factorization

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

2 x 2 x 2 x 3 x 8 x 23 x 283 x 407 x 125 = 63579912000

Therefore, the lowest common multiple of 192,552,566,407,375 is 63579912000.

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.

192 x 552 x 566 x 407 x 375 = 9155507328000

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

566 : 1, 2, 283, 566

407 : 1, 11, 37, 407

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,552,566,407,375, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

552:2x 2x 2x 3x 23

566:2x 283

407:11x 37

375:3x 5x 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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 9155507328000/(1x144)

LCM = 9155507328000/144

LCM = 63579912000

Thus, we can understand that the LCM of 192,552,566,407,375 is 63579912000.

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

• LCM of 800, 610, 994, 633, 643
• LCM of 722, 586, 941, 544, 557
• LCM of 820, 867, 755, 249, 943
• LCM of 781, 180, 131, 401, 715
• LCM of 550, 810, 483, 928, 729

1. What is the LCM of 192, 552, 566, 407, 375?

Answer: LCM of 192, 552, 566, 407, 375 is 63579912000.

2. How to calculate the LCM of 192, 552, 566, 407, 375?

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 192, 552, 566, 407, 375.

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}.