Given numbers are 460,649,209,733

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

The LCM of 460,649,209,733 is 4157766580.

Find LCM of 460,649,209,733 with Prime Factorization

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

11 x 460 x 59 x 19 x 733 = 4157766580

Therefore, the lowest common multiple of 460,649,209,733 is 4157766580.

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 649 x 209 x 733 = 45735432380

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

649 : 1, 11, 59, 649

209 : 1, 11, 19, 209

733 : 1, 733

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,649,209,733, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

649:11x 59

209:11x 19

733:733

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

11 = 11

Therefore, the value for common factors is 11.

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 = 45735432380/(1x11)

LCM = 45735432380/11

LCM = 4157766580

Thus, we can understand that the LCM of 460,649,209,733 is 4157766580.

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

• LCM of 978, 651, 507, 701
• LCM of 858, 396, 486, 839
• LCM of 563, 505, 257, 500
• LCM of 614, 868, 821, 910
• LCM of 214, 699, 934, 784

1. What is the LCM of 460, 649, 209, 733?

Answer: LCM of 460, 649, 209, 733 is 4157766580.

2. How to calculate the LCM of 460, 649, 209, 733?

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, 649, 209, 733.

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}.