Given numbers are 509,318,716,938

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

The LCM of 509,318,716,938 is 27176953524.

Find LCM of 509,318,716,938 with Prime Factorization

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

2 x 509 x 159 x 358 x 469 = 27176953524

Therefore, the lowest common multiple of 509,318,716,938 is 27176953524.

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 318 x 716 x 938 = 108707814096

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

716 : 1, 2, 4, 179, 358, 716

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,318,716,938, is 1.

Now, the common factors can be found like this.

509:509

318:2x 3x 53

716:2x 2x 179

938:2x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 108707814096/(1x4)

LCM = 108707814096/4

LCM = 27176953524

Thus, we can understand that the LCM of 509,318,716,938 is 27176953524.

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

• LCM of 263, 887, 839, 868
• LCM of 314, 681, 196, 505
• LCM of 842, 976, 839, 792
• LCM of 961, 351, 824, 975
• LCM of 566, 644, 652, 679

1. What is the LCM of 509, 318, 716, 938?

Answer: LCM of 509, 318, 716, 938 is 27176953524.

2. How to calculate the LCM of 509, 318, 716, 938?

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, 318, 716, 938.

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}.