Given numbers are 218,330,874,508

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

The LCM of 218,330,874,508 is 3992598060.

Find LCM of 218,330,874,508 with Prime Factorization

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

2 x 109 x 165 x 437 x 254 = 3992598060

Therefore, the lowest common multiple of 218,330,874,508 is 3992598060.

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.

218 x 330 x 874 x 508 = 31940784480

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.

218 : 1, 2, 109, 218

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

874 : 1, 2, 19, 23, 38, 46, 437, 874

508 : 1, 2, 4, 127, 254, 508

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,330,874,508, is 2.

Now, the common factors can be found like this.

218:2x 109

330:2x 3x 5x 11

874:2x 19x 23

508:2x 2x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31940784480/(2x4)

LCM = 31940784480/8

LCM = 3992598060

Thus, we can understand that the LCM of 218,330,874,508 is 3992598060.

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

• LCM of 518, 745, 983, 819
• LCM of 976, 990, 131, 648
• LCM of 546, 845, 640, 208
• LCM of 398, 466, 334, 754
• LCM of 743, 880, 233, 124

1. What is the LCM of 218, 330, 874, 508?

Answer: LCM of 218, 330, 874, 508 is 3992598060.

2. How to calculate the LCM of 218, 330, 874, 508?

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 218, 330, 874, 508.

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}.