Given numbers are 509,802,401,309

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

The LCM of 509,802,401,309 is 126139362.

Find LCM of 509,802,401,309 with Prime Factorization

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

401 x 509 x 2 x 1 x 309 = 126139362

Therefore, the lowest common multiple of 509,802,401,309 is 126139362.

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 802 x 401 x 309 = 50581884162

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

802 : 1, 2, 401, 802

401 : 1, 401

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,802,401,309, is 1.

Now, the common factors can be found like this.

509:509

802:2x 401

401:401

309:3x 103

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

401 = 401

Therefore, the value for common factors is 401.

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 = 50581884162/(1x401)

LCM = 50581884162/401

LCM = 126139362

Thus, we can understand that the LCM of 509,802,401,309 is 126139362.

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

• LCM of 484, 535, 734, 646
• LCM of 654, 658, 546, 640
• LCM of 186, 854, 770, 878
• LCM of 127, 889, 604, 397
• LCM of 572, 874, 522, 273

1. What is the LCM of 509, 802, 401, 309?

Answer: LCM of 509, 802, 401, 309 is 126139362.

2. How to calculate the LCM of 509, 802, 401, 309?

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, 802, 401, 309.

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}.