Given numbers are 668,164,305,376,420

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

The LCM of 668,164,305,376,420 is 16489493160.

Find LCM of 668,164,305,376,420 with Prime Factorization

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

2 x 2 x 5 x 167 x 41 x 61 x 94 x 21 = 16489493160

Therefore, the lowest common multiple of 668,164,305,376,420 is 16489493160.

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.

668 x 164 x 305 x 376 x 420 = 5276637811200

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.

668 : 1, 2, 4, 167, 334, 668

164 : 1, 2, 4, 41, 82, 164

305 : 1, 5, 61, 305

376 : 1, 2, 4, 8, 47, 94, 188, 376

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,164,305,376,420, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

164:2x 2x 41

305:5x 61

376:2x 2x 2x 47

420:2x 2x 3x 5x 7

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 5 = 320

Therefore, the value for common factors is 320.

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 = 5276637811200/(1x320)

LCM = 5276637811200/320

LCM = 16489493160

Thus, we can understand that the LCM of 668,164,305,376,420 is 16489493160.

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

• LCM of 959, 375, 147, 312, 342
• LCM of 955, 700, 908, 996, 870
• LCM of 570, 746, 712, 576, 491
• LCM of 100, 735, 370, 160, 333
• LCM of 730, 153, 435, 217, 903

1. What is the LCM of 668, 164, 305, 376, 420?

Answer: LCM of 668, 164, 305, 376, 420 is 16489493160.

2. How to calculate the LCM of 668, 164, 305, 376, 420?

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 668, 164, 305, 376, 420.

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}.