Given numbers are 342,437,614,364

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

The LCM of 342,437,614,364 is 439504884.

Find LCM of 342,437,614,364 with Prime Factorization

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

2 x 19 x 9 x 23 x 307 x 182 = 439504884

Therefore, the lowest common multiple of 342,437,614,364 is 439504884.

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 437 x 614 x 364 = 33402371184

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

437 : 1, 19, 23, 437

614 : 1, 2, 307, 614

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,437,614,364, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

437:19x 23

614:2x 307

364:2x 2x 7x 13

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 19 = 76

Therefore, the value for common factors is 76.

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 = 33402371184/(1x76)

LCM = 33402371184/76

LCM = 439504884

Thus, we can understand that the LCM of 342,437,614,364 is 439504884.

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

• LCM of 928, 500, 844, 481
• LCM of 628, 771, 674, 280
• LCM of 484, 934, 708, 757
• LCM of 786, 874, 309, 449
• LCM of 530, 752, 447, 558

1. What is the LCM of 342, 437, 614, 364?

Answer: LCM of 342, 437, 614, 364 is 439504884.

2. How to calculate the LCM of 342, 437, 614, 364?

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, 437, 614, 364.

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}.