Given numbers are 688,460,396,188,474

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

The LCM of 688,460,396,188,474 is 29083483440.

Find LCM of 688,460,396,188,474 with Prime Factorization

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

2 x 2 x 3 x 172 x 115 x 33 x 47 x 79 = 29083483440

Therefore, the lowest common multiple of 688,460,396,188,474 is 29083483440.

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.

688 x 460 x 396 x 188 x 474 = 11168057640960

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

188 : 1, 2, 4, 47, 94, 188

474 : 1, 2, 3, 6, 79, 158, 237, 474

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,460,396,188,474, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

460:2x 2x 5x 23

396:2x 2x 3x 3x 11

188:2x 2x 47

474:2x 3x 79

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 3 = 192

Therefore, the value for common factors is 192.

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 = 11168057640960/(2x192)

LCM = 11168057640960/384

LCM = 29083483440

Thus, we can understand that the LCM of 688,460,396,188,474 is 29083483440.

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

• LCM of 594, 825, 679, 900, 794
• LCM of 356, 687, 761, 982, 314
• LCM of 432, 195, 240, 758, 968
• LCM of 614, 740, 578, 148, 933
• LCM of 127, 541, 359, 338, 727

1. What is the LCM of 688, 460, 396, 188, 474?

Answer: LCM of 688, 460, 396, 188, 474 is 29083483440.

2. How to calculate the LCM of 688, 460, 396, 188, 474?

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 688, 460, 396, 188, 474.

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}.