Given numbers are 460,743,685,514

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

The LCM of 460,743,685,514 is 12033732020.

Find LCM of 460,743,685,514 with Prime Factorization

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

2 x 5 x 46 x 743 x 137 x 257 = 12033732020

Therefore, the lowest common multiple of 460,743,685,514 is 12033732020.

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 743 x 685 x 514 = 120337320200

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

743 : 1, 743

685 : 1, 5, 137, 685

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,743,685,514, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

743:743

685:5x 137

514:2x 257

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 120337320200/(1x10)

LCM = 120337320200/10

LCM = 12033732020

Thus, we can understand that the LCM of 460,743,685,514 is 12033732020.

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

• LCM of 643, 337, 855, 520
• LCM of 333, 439, 895, 893
• LCM of 552, 113, 417, 695
• LCM of 307, 619, 435, 800
• LCM of 673, 900, 530, 566

1. What is the LCM of 460, 743, 685, 514?

Answer: LCM of 460, 743, 685, 514 is 12033732020.

2. How to calculate the LCM of 460, 743, 685, 514?

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, 743, 685, 514.

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}.