Given numbers are 412,154,325,972,872

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

The LCM of 412,154,325,972,872 is 546177832200.

Find LCM of 412,154,325,972,872 with Prime Factorization

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

2 x 2 x 103 x 77 x 325 x 243 x 218 = 546177832200

Therefore, the lowest common multiple of 412,154,325,972,872 is 546177832200.

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.

412 x 154 x 325 x 972 x 872 = 17477690630400

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.

412 : 1, 2, 4, 103, 206, 412

154 : 1, 2, 7, 11, 14, 22, 77, 154

325 : 1, 5, 13, 25, 65, 325

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,154,325,972,872, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

154:2x 7x 11

325:5x 5x 13

972:2x 2x 3x 3x 3x 3x 3

872:2x 2x 2x 109

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 17477690630400/(1x32)

LCM = 17477690630400/32

LCM = 546177832200

Thus, we can understand that the LCM of 412,154,325,972,872 is 546177832200.

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

• LCM of 218, 422, 867, 245, 977
• LCM of 954, 129, 641, 761, 733
• LCM of 400, 958, 286, 557, 943
• LCM of 669, 671, 626, 443, 745
• LCM of 772, 178, 941, 346, 566

1. What is the LCM of 412, 154, 325, 972, 872?

Answer: LCM of 412, 154, 325, 972, 872 is 546177832200.

2. How to calculate the LCM of 412, 154, 325, 972, 872?

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 412, 154, 325, 972, 872.

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}.