Given numbers are 408,351,199,360,201

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

The LCM of 408,351,199,360,201 is 3182320440.

Find LCM of 408,351,199,360,201 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 17 x 39 x 199 x 5 x 67 = 3182320440

Therefore, the lowest common multiple of 408,351,199,360,201 is 3182320440.

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.

408 x 351 x 199 x 360 x 201 = 2062143645120

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

351 : 1, 3, 9, 13, 27, 39, 117, 351

199 : 1, 199

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,351,199,360,201, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

351:3x 3x 3x 13

199:199

360:2x 2x 2x 3x 3x 5

201:3x 67

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 2062143645120/(1x648)

LCM = 2062143645120/648

LCM = 3182320440

Thus, we can understand that the LCM of 408,351,199,360,201 is 3182320440.

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

• LCM of 685, 817, 738, 495, 541
• LCM of 389, 482, 866, 325, 885
• LCM of 855, 937, 438, 879, 328
• LCM of 182, 505, 696, 787, 577
• LCM of 172, 533, 321, 559, 838

1. What is the LCM of 408, 351, 199, 360, 201?

Answer: LCM of 408, 351, 199, 360, 201 is 3182320440.

2. How to calculate the LCM of 408, 351, 199, 360, 201?

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 408, 351, 199, 360, 201.

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}.