Given numbers are 261,262,266,550

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

The LCM of 261,262,266,550 is 2501071650.

Find LCM of 261,262,266,550 with Prime Factorization

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

2 x 261 x 131 x 133 x 275 = 2501071650

Therefore, the lowest common multiple of 261,262,266,550 is 2501071650.

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 262 x 266 x 550 = 10004286600

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

262 : 1, 2, 131, 262

266 : 1, 2, 7, 14, 19, 38, 133, 266

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,262,266,550, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

262:2x 131

266:2x 7x 19

550:2x 5x 5x 11

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 = 10004286600/(1x4)

LCM = 10004286600/4

LCM = 2501071650

Thus, we can understand that the LCM of 261,262,266,550 is 2501071650.

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

• LCM of 449, 698, 279, 384
• LCM of 477, 656, 917, 618
• LCM of 404, 355, 770, 861
• LCM of 342, 337, 383, 607
• LCM of 825, 151, 188, 339

1. What is the LCM of 261, 262, 266, 550?

Answer: LCM of 261, 262, 266, 550 is 2501071650.

2. How to calculate the LCM of 261, 262, 266, 550?

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, 262, 266, 550.

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}.