Given numbers are 724,207,204,303,210

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

The LCM of 724,207,204,303,210 is 9006317460.

Find LCM of 724,207,204,303,210 with Prime Factorization

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

2 x 2 x 3 x 181 x 69 x 17 x 101 x 35 = 9006317460

Therefore, the lowest common multiple of 724,207,204,303,210 is 9006317460.

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.

724 x 207 x 204 x 303 x 210 = 1945364571360

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.

724 : 1, 2, 4, 181, 362, 724

207 : 1, 3, 9, 23, 69, 207

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

303 : 1, 3, 101, 303

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,207,204,303,210, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

207:3x 3x 23

204:2x 2x 3x 17

303:3x 101

210:2x 3x 5x 7

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1945364571360/(1x216)

LCM = 1945364571360/216

LCM = 9006317460

Thus, we can understand that the LCM of 724,207,204,303,210 is 9006317460.

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

• LCM of 969, 330, 294, 465, 577
• LCM of 979, 874, 562, 932, 255
• LCM of 336, 986, 394, 655, 486
• LCM of 268, 960, 642, 305, 506
• LCM of 362, 602, 448, 755, 145

1. What is the LCM of 724, 207, 204, 303, 210?

Answer: LCM of 724, 207, 204, 303, 210 is 9006317460.

2. How to calculate the LCM of 724, 207, 204, 303, 210?

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 724, 207, 204, 303, 210.

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}.