Given numbers are 688,440,680,366,418

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

The LCM of 688,440,680,366,418 is 2236684560.

Find LCM of 688,440,680,366,418 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 86 x 1 x 17 x 183 x 19 = 2236684560

Therefore, the lowest common multiple of 688,440,680,366,418 is 2236684560.

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 440 x 680 x 366 x 418 = 31492518604800

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

366 : 1, 2, 3, 6, 61, 122, 183, 366

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,440,680,366,418, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

440:2x 2x 2x 5x 11

680:2x 2x 2x 5x 17

366:2x 3x 61

418:2x 11x 19

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 2x 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 31492518604800/(2x7040)

LCM = 31492518604800/14080

LCM = 2236684560

Thus, we can understand that the LCM of 688,440,680,366,418 is 2236684560.

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

• LCM of 670, 283, 998, 367, 494
• LCM of 320, 502, 520, 710, 746
• LCM of 235, 125, 662, 442, 218
• LCM of 889, 714, 371, 484, 972
• LCM of 621, 264, 490, 616, 564

1. What is the LCM of 688, 440, 680, 366, 418?

Answer: LCM of 688, 440, 680, 366, 418 is 2236684560.

2. How to calculate the LCM of 688, 440, 680, 366, 418?

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, 440, 680, 366, 418.

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}.