Given numbers are 212,194,260,920

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

The LCM of 212,194,260,920 is 61486360.

Find LCM of 212,194,260,920 with Prime Factorization

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

2 x 2 x 5 x 53 x 97 x 13 x 46 = 61486360

Therefore, the lowest common multiple of 212,194,260,920 is 61486360.

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.

212 x 194 x 260 x 920 = 9837817600

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.

212 : 1, 2, 4, 53, 106, 212

194 : 1, 2, 97, 194

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,194,260,920, is 2.

Now, the common factors can be found like this.

212:2x 2x 53

194:2x 97

260:2x 2x 5x 13

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 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 9837817600/(2x80)

LCM = 9837817600/160

LCM = 61486360

Thus, we can understand that the LCM of 212,194,260,920 is 61486360.

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

• LCM of 478, 873, 840, 542
• LCM of 797, 707, 647, 271
• LCM of 456, 310, 517, 630
• LCM of 457, 481, 101, 587
• LCM of 274, 245, 676, 766

1. What is the LCM of 212, 194, 260, 920?

Answer: LCM of 212, 194, 260, 920 is 61486360.

2. How to calculate the LCM of 212, 194, 260, 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 212, 194, 260, 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}.