Given numbers are 528,407,347,849,435

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

The LCM of 528,407,347,849,435 is 278175936720.

Find LCM of 528,407,347,849,435 with Prime Factorization

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

3 x 11 x 16 x 37 x 347 x 283 x 145 = 278175936720

Therefore, the lowest common multiple of 528,407,347,849,435 is 278175936720.

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.

528 x 407 x 347 x 849 x 435 = 27539417735280

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.

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

407 : 1, 11, 37, 407

347 : 1, 347

849 : 1, 3, 283, 849

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,407,347,849,435, is 1.

Now, the common factors can be found like this.

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

407:11x 37

347:347

849:3x 283

435:3x 5x 29

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

3x 3x 11 = 99

Therefore, the value for common factors is 99.

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 = 27539417735280/(1x99)

LCM = 27539417735280/99

LCM = 278175936720

Thus, we can understand that the LCM of 528,407,347,849,435 is 278175936720.

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

• LCM of 169, 981, 581, 482, 956
• LCM of 130, 563, 149, 229, 450
• LCM of 990, 404, 787, 864, 725
• LCM of 559, 475, 443, 875, 170
• LCM of 285, 208, 484, 751, 308

1. What is the LCM of 528, 407, 347, 849, 435?

Answer: LCM of 528, 407, 347, 849, 435 is 278175936720.

2. How to calculate the LCM of 528, 407, 347, 849, 435?

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 528, 407, 347, 849, 435.

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}.