Given numbers are 904,460,296,406,407

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

The LCM of 904,460,296,406,407 is 8589279160.

Find LCM of 904,460,296,406,407 with Prime Factorization

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

2 x 2 x 2 x 37 x 113 x 115 x 1 x 203 x 11 = 8589279160

Therefore, the lowest common multiple of 904,460,296,406,407 is 8589279160.

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.

904 x 460 x 296 x 406 x 407 = 20339413050880

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

406 : 1, 2, 7, 14, 29, 58, 203, 406

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,460,296,406,407, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

460:2x 2x 5x 23

296:2x 2x 2x 37

406:2x 7x 29

407:11x 37

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 37 = 2368

Therefore, the value for common factors is 2368.

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 = 20339413050880/(1x2368)

LCM = 20339413050880/2368

LCM = 8589279160

Thus, we can understand that the LCM of 904,460,296,406,407 is 8589279160.

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

• LCM of 156, 143, 581, 965, 534
• LCM of 920, 324, 619, 345, 241
• LCM of 922, 842, 882, 721, 228
• LCM of 886, 226, 164, 912, 818
• LCM of 589, 490, 418, 772, 423

1. What is the LCM of 904, 460, 296, 406, 407?

Answer: LCM of 904, 460, 296, 406, 407 is 8589279160.

2. How to calculate the LCM of 904, 460, 296, 406, 407?

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 904, 460, 296, 406, 407.

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}.