Given numbers are 238,327,354,528

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

The LCM of 238,327,354,528 is 404072592.

Find LCM of 238,327,354,528 with Prime Factorization

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

2 x 3 x 119 x 109 x 59 x 88 = 404072592

Therefore, the lowest common multiple of 238,327,354,528 is 404072592.

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 327 x 354 x 528 = 14546613312

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

327 : 1, 3, 109, 327

354 : 1, 2, 3, 6, 59, 118, 177, 354

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,327,354,528, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

327:3x 109

354:2x 3x 59

528:2x 2x 2x 2x 3x 11

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 14546613312/(1x36)

LCM = 14546613312/36

LCM = 404072592

Thus, we can understand that the LCM of 238,327,354,528 is 404072592.

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

• LCM of 978, 660, 321, 907
• LCM of 357, 877, 978, 856
• LCM of 744, 499, 119, 488
• LCM of 893, 923, 926, 647
• LCM of 809, 715, 188, 195

1. What is the LCM of 238, 327, 354, 528?

Answer: LCM of 238, 327, 354, 528 is 404072592.

2. How to calculate the LCM of 238, 327, 354, 528?

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, 327, 354, 528.

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}.