Given numbers are 504,794,828,177,120

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

The LCM of 504,794,828,177,120 is 1357597080.

Find LCM of 504,794,828,177,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 397 x 23 x 59 x 5 = 1357597080

Therefore, the lowest common multiple of 504,794,828,177,120 is 1357597080.

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.

504 x 794 x 828 x 177 x 120 = 7037783262720

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

794 : 1, 2, 397, 794

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

177 : 1, 3, 59, 177

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,794,828,177,120, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

794:2x 397

828:2x 2x 3x 3x 23

177:3x 59

120:2x 2x 2x 3x 5

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 2x 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 7037783262720/(1x5184)

LCM = 7037783262720/5184

LCM = 1357597080

Thus, we can understand that the LCM of 504,794,828,177,120 is 1357597080.

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

• LCM of 733, 365, 295, 289, 228
• LCM of 975, 608, 827, 217, 544
• LCM of 612, 194, 984, 340, 248
• LCM of 575, 704, 751, 442, 838
• LCM of 540, 190, 835, 703, 327

1. What is the LCM of 504, 794, 828, 177, 120?

Answer: LCM of 504, 794, 828, 177, 120 is 1357597080.

2. How to calculate the LCM of 504, 794, 828, 177, 120?

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 504, 794, 828, 177, 120.

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}.