Given numbers are 138,417,207,364

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

The LCM of 138,417,207,364 is 10473372.

Find LCM of 138,417,207,364 with Prime Factorization

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

2 x 3 x 23 x 1 x 139 x 3 x 182 = 10473372

Therefore, the lowest common multiple of 138,417,207,364 is 10473372.

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.

138 x 417 x 207 x 364 = 4335976008

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

417 : 1, 3, 139, 417

207 : 1, 3, 9, 23, 69, 207

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,417,207,364, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

417:3x 139

207:3x 3x 23

364:2x 2x 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 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 4335976008/(1x414)

LCM = 4335976008/414

LCM = 10473372

Thus, we can understand that the LCM of 138,417,207,364 is 10473372.

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

• LCM of 979, 388, 889, 164
• LCM of 106, 263, 671, 290
• LCM of 198, 226, 768, 575
• LCM of 144, 984, 829, 172
• LCM of 980, 329, 475, 428

1. What is the LCM of 138, 417, 207, 364?

Answer: LCM of 138, 417, 207, 364 is 10473372.

2. How to calculate the LCM of 138, 417, 207, 364?

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 138, 417, 207, 364.

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}.