Given numbers are 372,341,652,992,214

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

The LCM of 372,341,652,992,214 is 570948576.

Find LCM of 372,341,652,992,214 with Prime Factorization

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

2 x 2 x 31 x 3 x 11 x 163 x 8 x 107 = 570948576

Therefore, the lowest common multiple of 372,341,652,992,214 is 570948576.

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.

372 x 341 x 652 x 992 x 214 = 17557810609152

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

341 : 1, 11, 31, 341

652 : 1, 2, 4, 163, 326, 652

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,341,652,992,214, is 1.

Now, the common factors can be found like this.

372:2x 2x 3x 31

341:11x 31

652:2x 2x 163

992:2x 2x 2x 2x 2x 31

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 2x 2x 2x 2x 31x 31 = 30752

Therefore, the value for common factors is 30752.

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 = 17557810609152/(1x30752)

LCM = 17557810609152/30752

LCM = 570948576

Thus, we can understand that the LCM of 372,341,652,992,214 is 570948576.

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

• LCM of 901, 192, 433, 205, 346
• LCM of 801, 546, 102, 326, 359
• LCM of 301, 363, 130, 941, 296
• LCM of 981, 262, 978, 237, 617
• LCM of 344, 754, 565, 192, 437

1. What is the LCM of 372, 341, 652, 992, 214?

Answer: LCM of 372, 341, 652, 992, 214 is 570948576.

2. How to calculate the LCM of 372, 341, 652, 992, 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 372, 341, 652, 992, 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}.