Given numbers are 202,300,331,286,706

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

The LCM of 202,300,331,286,706 is 506269034700.

Find LCM of 202,300,331,286,706 with Prime Factorization

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

2 x 101 x 150 x 331 x 143 x 353 = 506269034700

Therefore, the lowest common multiple of 202,300,331,286,706 is 506269034700.

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.

202 x 300 x 331 x 286 x 706 = 4050152277600

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.

202 : 1, 2, 101, 202

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

331 : 1, 331

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

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,300,331,286,706, is 1.

Now, the common factors can be found like this.

202:2x 101

300:2x 2x 3x 5x 5

331:331

286:2x 11x 13

706:2x 353

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4050152277600/(1x8)

LCM = 4050152277600/8

LCM = 506269034700

Thus, we can understand that the LCM of 202,300,331,286,706 is 506269034700.

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

• LCM of 366, 531, 309, 980, 322
• LCM of 195, 282, 345, 340, 601
• LCM of 907, 295, 415, 901, 565
• LCM of 327, 169, 677, 489, 409
• LCM of 942, 717, 909, 598, 123

1. What is the LCM of 202, 300, 331, 286, 706?

Answer: LCM of 202, 300, 331, 286, 706 is 506269034700.

2. How to calculate the LCM of 202, 300, 331, 286, 706?

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 202, 300, 331, 286, 706.

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}.