Given numbers are 488,334,164,691,342

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

The LCM of 488,334,164,691,342 is 394815603096.

Find LCM of 488,334,164,691,342 with Prime Factorization

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

2 x 2 x 122 x 167 x 41 x 691 x 171 = 394815603096

Therefore, the lowest common multiple of 488,334,164,691,342 is 394815603096.

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.

488 x 334 x 164 x 691 x 342 = 6317049649536

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

334 : 1, 2, 167, 334

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

691 : 1, 691

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,334,164,691,342, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

334:2x 167

164:2x 2x 41

691:691

342:2x 3x 3x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 6317049649536/(1x16)

LCM = 6317049649536/16

LCM = 394815603096

Thus, we can understand that the LCM of 488,334,164,691,342 is 394815603096.

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

• LCM of 293, 791, 169, 604, 549
• LCM of 419, 455, 450, 563, 208
• LCM of 118, 778, 223, 898, 600
• LCM of 192, 443, 747, 823, 508
• LCM of 312, 166, 571, 858, 752

1. What is the LCM of 488, 334, 164, 691, 342?

Answer: LCM of 488, 334, 164, 691, 342 is 394815603096.

2. How to calculate the LCM of 488, 334, 164, 691, 342?

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 488, 334, 164, 691, 342.

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}.