Given numbers are 234,382,284,307

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

The LCM of 234,382,284,307 is 1948390236.

Find LCM of 234,382,284,307 with Prime Factorization

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

2 x 117 x 191 x 142 x 307 = 1948390236

Therefore, the lowest common multiple of 234,382,284,307 is 1948390236.

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.

234 x 382 x 284 x 307 = 7793560944

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

382 : 1, 2, 191, 382

284 : 1, 2, 4, 71, 142, 284

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,382,284,307, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

382:2x 191

284:2x 2x 71

307:307

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 = 7793560944/(1x4)

LCM = 7793560944/4

LCM = 1948390236

Thus, we can understand that the LCM of 234,382,284,307 is 1948390236.

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

• LCM of 866, 222, 132, 299
• LCM of 902, 356, 605, 650
• LCM of 800, 480, 603, 181
• LCM of 730, 662, 516, 731
• LCM of 146, 106, 920, 820

1. What is the LCM of 234, 382, 284, 307?

Answer: LCM of 234, 382, 284, 307 is 1948390236.

2. How to calculate the LCM of 234, 382, 284, 307?

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 234, 382, 284, 307.

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}.