Given numbers are 218,706,990,175,920

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

The LCM of 218,706,990,175,920 is 122656980600.

Find LCM of 218,706,990,175,920 with Prime Factorization

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

2 x 5 x 109 x 353 x 99 x 35 x 92 = 122656980600

Therefore, the lowest common multiple of 218,706,990,175,920 is 122656980600.

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 706 x 990 x 175 x 920 = 24531396120000

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

706 : 1, 2, 353, 706

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

175 : 1, 5, 7, 25, 35, 175

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,706,990,175,920, is 1.

Now, the common factors can be found like this.

218:2x 109

706:2x 353

990:2x 3x 3x 5x 11

175:5x 5x 7

920:2x 2x 2x 5x 23

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 24531396120000/(1x200)

LCM = 24531396120000/200

LCM = 122656980600

Thus, we can understand that the LCM of 218,706,990,175,920 is 122656980600.

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

• LCM of 506, 889, 330, 180, 294
• LCM of 266, 267, 496, 867, 854
• LCM of 909, 876, 895, 155, 666
• LCM of 545, 950, 711, 635, 162
• LCM of 997, 145, 417, 374, 725

1. What is the LCM of 218, 706, 990, 175, 920?

Answer: LCM of 218, 706, 990, 175, 920 is 122656980600.

2. How to calculate the LCM of 218, 706, 990, 175, 920?

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, 706, 990, 175, 920.

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}.