Given numbers are 505,504,134,706,775

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

The LCM of 505,504,134,706,775 is 933046140600.

Find LCM of 505,504,134,706,775 with Prime Factorization

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

2 x 5 x 101 x 252 x 67 x 353 x 155 = 933046140600

Therefore, the lowest common multiple of 505,504,134,706,775 is 933046140600.

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 504 x 134 x 706 x 775 = 18660922812000

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

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

134 : 1, 2, 67, 134

706 : 1, 2, 353, 706

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,504,134,706,775, is 1.

Now, the common factors can be found like this.

505:5x 101

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

134:2x 67

706:2x 353

775:5x 5x 31

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 5 = 20

Therefore, the value for common factors is 20.

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 = 18660922812000/(1x20)

LCM = 18660922812000/20

LCM = 933046140600

Thus, we can understand that the LCM of 505,504,134,706,775 is 933046140600.

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

• LCM of 187, 531, 567, 660, 885
• LCM of 611, 492, 256, 211, 978
• LCM of 887, 595, 480, 259, 691
• LCM of 218, 803, 508, 451, 165
• LCM of 372, 995, 451, 815, 322

1. What is the LCM of 505, 504, 134, 706, 775?

Answer: LCM of 505, 504, 134, 706, 775 is 933046140600.

2. How to calculate the LCM of 505, 504, 134, 706, 775?

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, 504, 134, 706, 775.

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}.