Given numbers are 597,621,214,529,345

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

The LCM of 597,621,214,529,345 is 3041279190.

Find LCM of 597,621,214,529,345 with Prime Factorization

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

3 x 23 x 199 x 9 x 214 x 23 x 5 = 3041279190

Therefore, the lowest common multiple of 597,621,214,529,345 is 3041279190.

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.

597 x 621 x 214 x 529 x 345 = 14479530223590

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.

597 : 1, 3, 199, 597

621 : 1, 3, 9, 23, 27, 69, 207, 621

214 : 1, 2, 107, 214

529 : 1, 23, 529

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,621,214,529,345, is 1.

Now, the common factors can be found like this.

597:3x 199

621:3x 3x 3x 23

214:2x 107

529:23x 23

345:3x 5x 23

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

3x 3x 23x 23 = 4761

Therefore, the value for common factors is 4761.

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 = 14479530223590/(1x4761)

LCM = 14479530223590/4761

LCM = 3041279190

Thus, we can understand that the LCM of 597,621,214,529,345 is 3041279190.

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

• LCM of 803, 612, 391, 363, 274
• LCM of 316, 689, 189, 840, 400
• LCM of 769, 464, 582, 504, 484
• LCM of 380, 563, 646, 940, 697
• LCM of 850, 930, 842, 502, 783

1. What is the LCM of 597, 621, 214, 529, 345?

Answer: LCM of 597, 621, 214, 529, 345 is 3041279190.

2. How to calculate the LCM of 597, 621, 214, 529, 345?

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 597, 621, 214, 529, 345.

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}.