Given numbers are 460,807,753,445

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

The LCM of 460,807,753,445 is 8292683580.

Find LCM of 460,807,753,445 with Prime Factorization

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

3 x 5 x 92 x 269 x 251 x 89 = 8292683580

Therefore, the lowest common multiple of 460,807,753,445 is 8292683580.

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 807 x 753 x 445 = 124390253700

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

807 : 1, 3, 269, 807

753 : 1, 3, 251, 753

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,807,753,445, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

807:3x 269

753:3x 251

445:5x 89

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 124390253700/(1x15)

LCM = 124390253700/15

LCM = 8292683580

Thus, we can understand that the LCM of 460,807,753,445 is 8292683580.

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

• LCM of 602, 996, 307, 527
• LCM of 137, 985, 480, 131
• LCM of 533, 475, 611, 102
• LCM of 443, 521, 238, 268
• LCM of 447, 433, 603, 795

1. What is the LCM of 460, 807, 753, 445?

Answer: LCM of 460, 807, 753, 445 is 8292683580.

2. How to calculate the LCM of 460, 807, 753, 445?

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, 807, 753, 445.

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}.