Given numbers are 705,337,214,288

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

The LCM of 705,337,214,288 is 2440473120.

Find LCM of 705,337,214,288 with Prime Factorization

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

2 x 3 x 235 x 337 x 107 x 48 = 2440473120

Therefore, the lowest common multiple of 705,337,214,288 is 2440473120.

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.

705 x 337 x 214 x 288 = 14642838720

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

337 : 1, 337

214 : 1, 2, 107, 214

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,337,214,288, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

337:337

214:2x 107

288:2x 2x 2x 2x 2x 3x 3

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 = 14642838720/(1x6)

LCM = 14642838720/6

LCM = 2440473120

Thus, we can understand that the LCM of 705,337,214,288 is 2440473120.

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

• LCM of 854, 977, 424, 951
• LCM of 839, 300, 150, 162
• LCM of 787, 599, 439, 882
• LCM of 270, 149, 508, 690
• LCM of 794, 143, 206, 103

1. What is the LCM of 705, 337, 214, 288?

Answer: LCM of 705, 337, 214, 288 is 2440473120.

2. How to calculate the LCM of 705, 337, 214, 288?

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 705, 337, 214, 288.

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}.