Given numbers are 460,536,283,417

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

The LCM of 460,536,283,417 is 7274198040.

Find LCM of 460,536,283,417 with Prime Factorization

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

2 x 2 x 115 x 134 x 283 x 417 = 7274198040

Therefore, the lowest common multiple of 460,536,283,417 is 7274198040.

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.

460 x 536 x 283 x 417 = 29096792160

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

536 : 1, 2, 4, 8, 67, 134, 268, 536

283 : 1, 283

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,536,283,417, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

536:2x 2x 2x 67

283:283

417:3x 139

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 = 29096792160/(1x4)

LCM = 29096792160/4

LCM = 7274198040

Thus, we can understand that the LCM of 460,536,283,417 is 7274198040.

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

• LCM of 274, 628, 229, 695
• LCM of 876, 743, 235, 364
• LCM of 258, 597, 513, 311
• LCM of 680, 503, 487, 936
• LCM of 513, 397, 784, 560

1. What is the LCM of 460, 536, 283, 417?

Answer: LCM of 460, 536, 283, 417 is 7274198040.

2. How to calculate the LCM of 460, 536, 283, 417?

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 460, 536, 283, 417.

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}.