Given numbers are 202,768,645,214,467

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

The LCM of 202,768,645,214,467 is 833339009280.

Find LCM of 202,768,645,214,467 with Prime Factorization

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

2 x 3 x 101 x 128 x 215 x 107 x 467 = 833339009280

Therefore, the lowest common multiple of 202,768,645,214,467 is 833339009280.

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 768 x 645 x 214 x 467 = 10000068111360

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

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

645 : 1, 3, 5, 15, 43, 129, 215, 645

214 : 1, 2, 107, 214

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,768,645,214,467, is 1.

Now, the common factors can be found like this.

202:2x 101

768:2x 2x 2x 2x 2x 2x 2x 2x 3

645:3x 5x 43

214:2x 107

467:467

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 3 = 12

Therefore, the value for common factors is 12.

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 = 10000068111360/(1x12)

LCM = 10000068111360/12

LCM = 833339009280

Thus, we can understand that the LCM of 202,768,645,214,467 is 833339009280.

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

• LCM of 855, 582, 527, 626, 107
• LCM of 993, 580, 683, 500, 640
• LCM of 511, 172, 137, 722, 556
• LCM of 465, 852, 796, 491, 597
• LCM of 879, 314, 732, 558, 454

1. What is the LCM of 202, 768, 645, 214, 467?

Answer: LCM of 202, 768, 645, 214, 467 is 833339009280.

2. How to calculate the LCM of 202, 768, 645, 214, 467?

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, 768, 645, 214, 467.

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}.