Given numbers are 381,270,523,528

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

The LCM of 381,270,523,528 is 1578162960.

Find LCM of 381,270,523,528 with Prime Factorization

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

2 x 3 x 127 x 45 x 523 x 88 = 1578162960

Therefore, the lowest common multiple of 381,270,523,528 is 1578162960.

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.

381 x 270 x 523 x 528 = 28406933280

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.

381 : 1, 3, 127, 381

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

523 : 1, 523

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 381,270,523,528, is 1.

Now, the common factors can be found like this.

381:3x 127

270:2x 3x 3x 3x 5

523:523

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 28406933280/(1x18)

LCM = 28406933280/18

LCM = 1578162960

Thus, we can understand that the LCM of 381,270,523,528 is 1578162960.

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

• LCM of 869, 221, 774, 179
• LCM of 541, 741, 779, 995
• LCM of 800, 223, 751, 703
• LCM of 965, 867, 226, 365
• LCM of 923, 954, 235, 832

1. What is the LCM of 381, 270, 523, 528?

Answer: LCM of 381, 270, 523, 528 is 1578162960.

2. How to calculate the LCM of 381, 270, 523, 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 381, 270, 523, 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}.