Given numbers are 509,393,531,876

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

The LCM of 509,393,531,876 is 10338712308.

Find LCM of 509,393,531,876 with Prime Factorization

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

3 x 509 x 131 x 177 x 292 = 10338712308

Therefore, the lowest common multiple of 509,393,531,876 is 10338712308.

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.

509 x 393 x 531 x 876 = 93048410772

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.

509 : 1, 509

393 : 1, 3, 131, 393

531 : 1, 3, 9, 59, 177, 531

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,393,531,876, is 1.

Now, the common factors can be found like this.

509:509

393:3x 131

531:3x 3x 59

876:2x 2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 93048410772/(1x9)

LCM = 93048410772/9

LCM = 10338712308

Thus, we can understand that the LCM of 509,393,531,876 is 10338712308.

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

• LCM of 193, 756, 150, 980
• LCM of 194, 535, 225, 969
• LCM of 303, 798, 703, 652
• LCM of 839, 413, 981, 644
• LCM of 833, 985, 763, 363

1. What is the LCM of 509, 393, 531, 876?

Answer: LCM of 509, 393, 531, 876 is 10338712308.

2. How to calculate the LCM of 509, 393, 531, 876?

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 509, 393, 531, 876.

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}.