Given numbers are 624,343,363,214

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

The LCM of 624,343,363,214 is 2771072304.

Find LCM of 624,343,363,214 with Prime Factorization

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

2 x 3 x 104 x 343 x 121 x 107 = 2771072304

Therefore, the lowest common multiple of 624,343,363,214 is 2771072304.

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.

624 x 343 x 363 x 214 = 16626433824

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

343 : 1, 7, 49, 343

363 : 1, 3, 11, 33, 121, 363

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,343,363,214, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

343:7x 7x 7

363:3x 11x 11

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 16626433824/(1x6)

LCM = 16626433824/6

LCM = 2771072304

Thus, we can understand that the LCM of 624,343,363,214 is 2771072304.

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

• LCM of 787, 342, 389, 904
• LCM of 632, 263, 165, 330
• LCM of 911, 501, 177, 936
• LCM of 399, 782, 895, 373
• LCM of 303, 182, 472, 989

1. What is the LCM of 624, 343, 363, 214?

Answer: LCM of 624, 343, 363, 214 is 2771072304.

2. How to calculate the LCM of 624, 343, 363, 214?

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 624, 343, 363, 214.

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}.