Given numbers are 352,177,516,526,828

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

The LCM of 352,177,516,526,828 is 48617119584.

Find LCM of 352,177,516,526,828 with Prime Factorization

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

2 x 2 x 3 x 88 x 59 x 43 x 263 x 69 = 48617119584

Therefore, the lowest common multiple of 352,177,516,526,828 is 48617119584.

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.

352 x 177 x 516 x 526 x 828 = 14001730440192

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

177 : 1, 3, 59, 177

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

526 : 1, 2, 263, 526

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,177,516,526,828, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

177:3x 59

516:2x 2x 3x 43

526:2x 263

828:2x 2x 3x 3x 23

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 14001730440192/(1x288)

LCM = 14001730440192/288

LCM = 48617119584

Thus, we can understand that the LCM of 352,177,516,526,828 is 48617119584.

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

• LCM of 300, 514, 886, 517, 541
• LCM of 320, 529, 238, 492, 606
• LCM of 620, 748, 781, 836, 776
• LCM of 697, 759, 968, 191, 654
• LCM of 598, 987, 383, 321, 531

1. What is the LCM of 352, 177, 516, 526, 828?

Answer: LCM of 352, 177, 516, 526, 828 is 48617119584.

2. How to calculate the LCM of 352, 177, 516, 526, 828?

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 352, 177, 516, 526, 828.

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}.