Given numbers are 505,522,353,101,177

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

The LCM of 505,522,353,101,177 is 5490205470.

Find LCM of 505,522,353,101,177 with Prime Factorization

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

3 x 101 x 5 x 174 x 353 x 1 x 59 = 5490205470

Therefore, the lowest common multiple of 505,522,353,101,177 is 5490205470.

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.

505 x 522 x 353 x 101 x 177 = 1663532257410

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.

505 : 1, 5, 101, 505

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

353 : 1, 353

101 : 1, 101

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,522,353,101,177, is 1.

Now, the common factors can be found like this.

505:5x 101

522:2x 3x 3x 29

353:353

101:101

177:3x 59

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

3x 101 = 303

Therefore, the value for common factors is 303.

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 = 1663532257410/(1x303)

LCM = 1663532257410/303

LCM = 5490205470

Thus, we can understand that the LCM of 505,522,353,101,177 is 5490205470.

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

• LCM of 145, 934, 711, 314, 876
• LCM of 248, 441, 158, 323, 779
• LCM of 174, 273, 980, 823, 309
• LCM of 775, 543, 500, 121, 703
• LCM of 434, 239, 170, 566, 932

1. What is the LCM of 505, 522, 353, 101, 177?

Answer: LCM of 505, 522, 353, 101, 177 is 5490205470.

2. How to calculate the LCM of 505, 522, 353, 101, 177?

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 505, 522, 353, 101, 177.

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}.