Given numbers are 198,560,552,192,744

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

The LCM of 198,560,552,192,744 is 158114880.

Find LCM of 198,560,552,192,744 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 33 x 35 x 23 x 4 x 31 = 158114880

Therefore, the lowest common multiple of 198,560,552,192,744 is 158114880.

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.

198 x 560 x 552 x 192 x 744 = 8743120404480

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,560,552,192,744, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

560:2x 2x 2x 2x 5x 7

552:2x 2x 2x 3x 23

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

744:2x 2x 2x 3x 31

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 2x 2x 2x 3x 3x 3 = 27648

Therefore, the value for common factors is 27648.

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 = 8743120404480/(2x27648)

LCM = 8743120404480/55296

LCM = 158114880

Thus, we can understand that the LCM of 198,560,552,192,744 is 158114880.

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

• LCM of 263, 379, 711, 121, 557
• LCM of 227, 407, 409, 438, 251
• LCM of 960, 729, 974, 803, 459
• LCM of 541, 827, 251, 525, 794
• LCM of 632, 864, 707, 403, 191

1. What is the LCM of 198, 560, 552, 192, 744?

Answer: LCM of 198, 560, 552, 192, 744 is 158114880.

2. How to calculate the LCM of 198, 560, 552, 192, 744?

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 198, 560, 552, 192, 744.

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}.