Given numbers are 237,617,294,720,447

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

The LCM of 237,617,294,720,447 is 256228302960.

Find LCM of 237,617,294,720,447 with Prime Factorization

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

2 x 3 x 79 x 617 x 49 x 120 x 149 = 256228302960

Therefore, the lowest common multiple of 237,617,294,720,447 is 256228302960.

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.

237 x 617 x 294 x 720 x 447 = 13836328359840

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.

237 : 1, 3, 79, 237

617 : 1, 617

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,617,294,720,447, is 1.

Now, the common factors can be found like this.

237:3x 79

617:617

294:2x 3x 7x 7

720:2x 2x 2x 2x 3x 3x 5

447:3x 149

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 13836328359840/(1x54)

LCM = 13836328359840/54

LCM = 256228302960

Thus, we can understand that the LCM of 237,617,294,720,447 is 256228302960.

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

• LCM of 540, 641, 463, 404, 125
• LCM of 812, 686, 621, 740, 320
• LCM of 389, 472, 496, 640, 337
• LCM of 484, 875, 202, 313, 984
• LCM of 576, 101, 779, 736, 224

1. What is the LCM of 237, 617, 294, 720, 447?

Answer: LCM of 237, 617, 294, 720, 447 is 256228302960.

2. How to calculate the LCM of 237, 617, 294, 720, 447?

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 237, 617, 294, 720, 447.

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}.