Given numbers are 505,190,745,209

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

The LCM of 505,190,745,209 is 31452410.

Find LCM of 505,190,745,209 with Prime Factorization

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

5 x 19 x 101 x 2 x 149 x 11 = 31452410

Therefore, the lowest common multiple of 505,190,745,209 is 31452410.

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 190 x 745 x 209 = 14939894750

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

745 : 1, 5, 149, 745

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,190,745,209, is 1.

Now, the common factors can be found like this.

505:5x 101

190:2x 5x 19

745:5x 149

209:11x 19

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

5x 5x 19 = 475

Therefore, the value for common factors is 475.

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 = 14939894750/(1x475)

LCM = 14939894750/475

LCM = 31452410

Thus, we can understand that the LCM of 505,190,745,209 is 31452410.

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

• LCM of 200, 255, 425, 244
• LCM of 152, 686, 205, 150
• LCM of 995, 143, 950, 795
• LCM of 953, 166, 495, 112
• LCM of 151, 316, 721, 421

1. What is the LCM of 505, 190, 745, 209?

Answer: LCM of 505, 190, 745, 209 is 31452410.

2. How to calculate the LCM of 505, 190, 745, 209?

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, 190, 745, 209.

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}.