Given numbers are 259,268,266,854

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

The LCM of 259,268,266,854 is 80448508.

Find LCM of 259,268,266,854 with Prime Factorization

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

2 x 7 x 37 x 134 x 19 x 61 = 80448508

Therefore, the lowest common multiple of 259,268,266,854 is 80448508.

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.

259 x 268 x 266 x 854 = 15767907568

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.

259 : 1, 7, 37, 259

268 : 1, 2, 4, 67, 134, 268

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

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,268,266,854, is 1.

Now, the common factors can be found like this.

259:7x 37

268:2x 2x 67

266:2x 7x 19

854:2x 7x 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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 15767907568/(1x196)

LCM = 15767907568/196

LCM = 80448508

Thus, we can understand that the LCM of 259,268,266,854 is 80448508.

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

• LCM of 186, 331, 805, 240
• LCM of 158, 891, 827, 241
• LCM of 495, 366, 673, 269
• LCM of 870, 290, 936, 591
• LCM of 237, 674, 482, 583

1. What is the LCM of 259, 268, 266, 854?

Answer: LCM of 259, 268, 266, 854 is 80448508.

2. How to calculate the LCM of 259, 268, 266, 854?

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 259, 268, 266, 854.

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}.