Given numbers are 300,516,167,788,396

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

The LCM of 300,516,167,788,396 is 14005104300.

Find LCM of 300,516,167,788,396 with Prime Factorization

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

2 x 2 x 3 x 25 x 43 x 167 x 197 x 33 = 14005104300

Therefore, the lowest common multiple of 300,516,167,788,396 is 14005104300.

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.

300 x 516 x 167 x 788 x 396 = 8066940076800

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.

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

167 : 1, 167

788 : 1, 2, 4, 197, 394, 788

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,516,167,788,396, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

516:2x 2x 3x 43

167:167

788:2x 2x 197

396:2x 2x 3x 3x 11

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 8066940076800/(1x576)

LCM = 8066940076800/576

LCM = 14005104300

Thus, we can understand that the LCM of 300,516,167,788,396 is 14005104300.

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

• LCM of 859, 653, 529, 267, 859
• LCM of 236, 458, 920, 492, 826
• LCM of 756, 817, 852, 914, 123
• LCM of 959, 685, 401, 945, 184
• LCM of 279, 755, 668, 339, 467

1. What is the LCM of 300, 516, 167, 788, 396?

Answer: LCM of 300, 516, 167, 788, 396 is 14005104300.

2. How to calculate the LCM of 300, 516, 167, 788, 396?

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 300, 516, 167, 788, 396.

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}.