Given numbers are 238,736,305,478

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

The LCM of 238,736,305,478 is 6384435680.

Find LCM of 238,736,305,478 with Prime Factorization

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

2 x 119 x 368 x 305 x 239 = 6384435680

Therefore, the lowest common multiple of 238,736,305,478 is 6384435680.

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.

238 x 736 x 305 x 478 = 25537742720

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

305 : 1, 5, 61, 305

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,736,305,478, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

736:2x 2x 2x 2x 2x 23

305:5x 61

478:2x 239

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25537742720/(1x4)

LCM = 25537742720/4

LCM = 6384435680

Thus, we can understand that the LCM of 238,736,305,478 is 6384435680.

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

• LCM of 124, 772, 133, 923
• LCM of 978, 817, 723, 336
• LCM of 422, 293, 696, 954
• LCM of 347, 353, 139, 111
• LCM of 721, 327, 399, 796

1. What is the LCM of 238, 736, 305, 478?

Answer: LCM of 238, 736, 305, 478 is 6384435680.

2. How to calculate the LCM of 238, 736, 305, 478?

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 238, 736, 305, 478.

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}.