Given numbers are 261,266,890,914

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

The LCM of 261,266,890,914 is 14118818490.

Find LCM of 261,266,890,914 with Prime Factorization

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

2 x 261 x 133 x 445 x 457 = 14118818490

Therefore, the lowest common multiple of 261,266,890,914 is 14118818490.

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 266 x 890 x 914 = 56475273960

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

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

890 : 1, 2, 5, 10, 89, 178, 445, 890

914 : 1, 2, 457, 914

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,266,890,914, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

266:2x 7x 19

890:2x 5x 89

914:2x 457

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 = 56475273960/(1x4)

LCM = 56475273960/4

LCM = 14118818490

Thus, we can understand that the LCM of 261,266,890,914 is 14118818490.

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

• LCM of 981, 611, 352, 591
• LCM of 142, 865, 158, 601
• LCM of 811, 552, 406, 925
• LCM of 131, 399, 871, 374
• LCM of 810, 964, 973, 198

1. What is the LCM of 261, 266, 890, 914?

Answer: LCM of 261, 266, 890, 914 is 14118818490.

2. How to calculate the LCM of 261, 266, 890, 914?

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, 266, 890, 914.

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}.