Given numbers are 470,539,184,460,736

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

The LCM of 470,539,184,460,736 is 93225440.

Find LCM of 470,539,184,460,736 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 47 x 539 x 1 x 1 x 4 = 93225440

Therefore, the lowest common multiple of 470,539,184,460,736 is 93225440.

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.

470 x 539 x 184 x 460 x 736 = 15781202483200

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

539 : 1, 7, 11, 49, 77, 539

184 : 1, 2, 4, 8, 23, 46, 92, 184

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,539,184,460,736, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

539:7x 7x 11

184:2x 2x 2x 23

460:2x 2x 5x 23

736:2x 2x 2x 2x 2x 23

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 2x 2x 5x 23x 23 = 169280

Therefore, the value for common factors is 169280.

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 = 15781202483200/(1x169280)

LCM = 15781202483200/169280

LCM = 93225440

Thus, we can understand that the LCM of 470,539,184,460,736 is 93225440.

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

• LCM of 813, 279, 441, 505, 505
• LCM of 346, 568, 898, 525, 826
• LCM of 929, 931, 638, 549, 281
• LCM of 604, 836, 129, 324, 437
• LCM of 679, 892, 233, 320, 289

1. What is the LCM of 470, 539, 184, 460, 736?

Answer: LCM of 470, 539, 184, 460, 736 is 93225440.

2. How to calculate the LCM of 470, 539, 184, 460, 736?

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 470, 539, 184, 460, 736.

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}.