Given numbers are 259,137,122,546

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

The LCM of 259,137,122,546 is 168828114.

Find LCM of 259,137,122,546 with Prime Factorization

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

2 x 7 x 37 x 137 x 61 x 39 = 168828114

Therefore, the lowest common multiple of 259,137,122,546 is 168828114.

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 137 x 122 x 546 = 2363593596

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

137 : 1, 137

122 : 1, 2, 61, 122

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,137,122,546, is 1.

Now, the common factors can be found like this.

259:7x 37

137:137

122:2x 61

546:2x 3x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 2363593596/(1x14)

LCM = 2363593596/14

LCM = 168828114

Thus, we can understand that the LCM of 259,137,122,546 is 168828114.

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

• LCM of 254, 330, 941, 858
• LCM of 654, 761, 404, 269
• LCM of 562, 234, 515, 969
• LCM of 363, 600, 723, 484
• LCM of 758, 234, 390, 888

1. What is the LCM of 259, 137, 122, 546?

Answer: LCM of 259, 137, 122, 546 is 168828114.

2. How to calculate the LCM of 259, 137, 122, 546?

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, 137, 122, 546.

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}.