Given numbers are 452,106,468,286,209

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

The LCM of 452,106,468,286,209 is 585796068.

Find LCM of 452,106,468,286,209 with Prime Factorization

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

2 x 2 x 11 x 13 x 113 x 53 x 9 x 1 x 19 = 585796068

Therefore, the lowest common multiple of 452,106,468,286,209 is 585796068.

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.

452 x 106 x 468 x 286 x 209 = 1340301403584

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.

452 : 1, 2, 4, 113, 226, 452

106 : 1, 2, 53, 106

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

286 : 1, 2, 11, 13, 22, 26, 143, 286

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,106,468,286,209, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

106:2x 53

468:2x 2x 3x 3x 13

286:2x 11x 13

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.

2x 2x 2x 2x 11x 13 = 2288

Therefore, the value for common factors is 2288.

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 = 1340301403584/(1x2288)

LCM = 1340301403584/2288

LCM = 585796068

Thus, we can understand that the LCM of 452,106,468,286,209 is 585796068.

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

• LCM of 112, 172, 950, 209, 655
• LCM of 545, 342, 958, 971, 475
• LCM of 810, 139, 910, 730, 862
• LCM of 118, 800, 895, 887, 560
• LCM of 564, 452, 472, 451, 715

1. What is the LCM of 452, 106, 468, 286, 209?

Answer: LCM of 452, 106, 468, 286, 209 is 585796068.

2. How to calculate the LCM of 452, 106, 468, 286, 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 452, 106, 468, 286, 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}.