Given numbers are 972,306,598,288,198

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

The LCM of 972,306,598,288,198 is 434779488.

Find LCM of 972,306,598,288,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 27 x 17 x 299 x 8 x 11 = 434779488

Therefore, the lowest common multiple of 972,306,598,288,198 is 434779488.

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.

972 x 306 x 598 x 288 x 198 = 10142535896064

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

598 : 1, 2, 13, 23, 26, 46, 299, 598

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,306,598,288,198, is 2.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

306:2x 3x 3x 17

598:2x 13x 23

288:2x 2x 2x 2x 2x 3x 3

198:2x 3x 3x 11

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 3x 3x 3x 3x 3 = 11664

Therefore, the value for common factors is 11664.

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 = 10142535896064/(2x11664)

LCM = 10142535896064/23328

LCM = 434779488

Thus, we can understand that the LCM of 972,306,598,288,198 is 434779488.

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

• LCM of 705, 514, 644, 258, 617
• LCM of 940, 746, 466, 523, 548
• LCM of 510, 234, 751, 196, 254
• LCM of 265, 218, 800, 884, 557
• LCM of 248, 167, 293, 695, 585

1. What is the LCM of 972, 306, 598, 288, 198?

Answer: LCM of 972, 306, 598, 288, 198 is 434779488.

2. How to calculate the LCM of 972, 306, 598, 288, 198?

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 972, 306, 598, 288, 198.

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}.