Given numbers are 342,936,614,717,988

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

The LCM of 342,936,614,717,988 is 1304865432.

Find LCM of 342,936,614,717,988 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 19 x 1 x 2 x 307 x 239 x 1 = 1304865432

Therefore, the lowest common multiple of 342,936,614,717,988 is 1304865432.

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.

342 x 936 x 614 x 717 x 988 = 139234361056128

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.

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

614 : 1, 2, 307, 614

717 : 1, 3, 239, 717

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,936,614,717,988, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

936:2x 2x 2x 3x 3x 13

614:2x 307

717:3x 239

988:2x 2x 13x 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 3x 3x 3x 13x 19 = 106704

Therefore, the value for common factors is 106704.

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 = 139234361056128/(1x106704)

LCM = 139234361056128/106704

LCM = 1304865432

Thus, we can understand that the LCM of 342,936,614,717,988 is 1304865432.

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

• LCM of 318, 886, 270, 604, 120
• LCM of 213, 701, 193, 954, 117
• LCM of 726, 789, 436, 105, 291
• LCM of 808, 980, 452, 335, 441
• LCM of 747, 146, 650, 933, 354

1. What is the LCM of 342, 936, 614, 717, 988?

Answer: LCM of 342, 936, 614, 717, 988 is 1304865432.

2. How to calculate the LCM of 342, 936, 614, 717, 988?

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 342, 936, 614, 717, 988.

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}.