Given numbers are 538,270,102,528

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

The LCM of 538,270,102,528 is 108654480.

Find LCM of 538,270,102,528 with Prime Factorization

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

2 x 3 x 269 x 45 x 17 x 88 = 108654480

Therefore, the lowest common multiple of 538,270,102,528 is 108654480.

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.

538 x 270 x 102 x 528 = 7823122560

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.

538 : 1, 2, 269, 538

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,270,102,528, is 2.

Now, the common factors can be found like this.

538:2x 269

270:2x 3x 3x 3x 5

102:2x 3x 17

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 = 7823122560/(2x36)

LCM = 7823122560/72

LCM = 108654480

Thus, we can understand that the LCM of 538,270,102,528 is 108654480.

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

• LCM of 699, 475, 673, 511
• LCM of 340, 527, 801, 457
• LCM of 472, 326, 949, 707
• LCM of 866, 733, 576, 456
• LCM of 780, 515, 589, 115

1. What is the LCM of 538, 270, 102, 528?

Answer: LCM of 538, 270, 102, 528 is 108654480.

2. How to calculate the LCM of 538, 270, 102, 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 538, 270, 102, 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}.