Given numbers are 642,557,198,894,984

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

The LCM of 642,557,198,894,984 is 288359510472.

Find LCM of 642,557,198,894,984 with Prime Factorization

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

2 x 3 x 107 x 557 x 33 x 149 x 164 = 288359510472

Therefore, the lowest common multiple of 642,557,198,894,984 is 288359510472.

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.

642 x 557 x 198 x 894 x 984 = 62285654261952

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

557 : 1, 557

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,557,198,894,984, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

557:557

198:2x 3x 3x 11

894:2x 3x 149

984:2x 2x 2x 3x 41

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 62285654261952/(1x216)

LCM = 62285654261952/216

LCM = 288359510472

Thus, we can understand that the LCM of 642,557,198,894,984 is 288359510472.

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

• LCM of 875, 262, 375, 266, 151
• LCM of 435, 801, 224, 346, 731
• LCM of 935, 789, 956, 192, 872
• LCM of 896, 423, 176, 369, 150
• LCM of 898, 235, 755, 880, 637

1. What is the LCM of 642, 557, 198, 894, 984?

Answer: LCM of 642, 557, 198, 894, 984 is 288359510472.

2. How to calculate the LCM of 642, 557, 198, 894, 984?

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 642, 557, 198, 894, 984.

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}.