Given numbers are 460,416,853,289

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

The LCM of 460,416,853,289 is 11793373280.

Find LCM of 460,416,853,289 with Prime Factorization

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

2 x 2 x 115 x 104 x 853 x 289 = 11793373280

Therefore, the lowest common multiple of 460,416,853,289 is 11793373280.

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 416 x 853 x 289 = 47173493120

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

853 : 1, 853

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,416,853,289, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

416:2x 2x 2x 2x 2x 13

853:853

289:17x 17

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 = 47173493120/(1x4)

LCM = 47173493120/4

LCM = 11793373280

Thus, we can understand that the LCM of 460,416,853,289 is 11793373280.

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

• LCM of 290, 431, 767, 750
• LCM of 371, 803, 728, 622
• LCM of 909, 175, 443, 522
• LCM of 670, 180, 222, 394
• LCM of 821, 521, 960, 724

1. What is the LCM of 460, 416, 853, 289?

Answer: LCM of 460, 416, 853, 289 is 11793373280.

2. How to calculate the LCM of 460, 416, 853, 289?

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, 416, 853, 289.

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}.