Given numbers are 261,312,360,393,122

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

The LCM of 261,312,360,393,122 is 1084538520.

Find LCM of 261,312,360,393,122 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 29 x 13 x 5 x 131 x 61 = 1084538520

Therefore, the lowest common multiple of 261,312,360,393,122 is 1084538520.

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.

261 x 312 x 360 x 393 x 122 = 1405561921920

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.

261 : 1, 3, 9, 29, 87, 261

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

393 : 1, 3, 131, 393

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,312,360,393,122, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

312:2x 2x 2x 3x 13

360:2x 2x 2x 3x 3x 5

393:3x 131

122:2x 61

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 3 = 1296

Therefore, the value for common factors is 1296.

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 = 1405561921920/(1x1296)

LCM = 1405561921920/1296

LCM = 1084538520

Thus, we can understand that the LCM of 261,312,360,393,122 is 1084538520.

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

• LCM of 172, 280, 425, 526, 725
• LCM of 429, 553, 117, 937, 648
• LCM of 211, 743, 494, 122, 621
• LCM of 200, 410, 974, 502, 948
• LCM of 444, 730, 520, 782, 341

1. What is the LCM of 261, 312, 360, 393, 122?

Answer: LCM of 261, 312, 360, 393, 122 is 1084538520.

2. How to calculate the LCM of 261, 312, 360, 393, 122?

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 261, 312, 360, 393, 122.

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}.