Given numbers are 509,310,973,556,146

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

The LCM of 509,310,973,556,146 is 22415331820.

Find LCM of 509,310,973,556,146 with Prime Factorization

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

2 x 139 x 509 x 155 x 7 x 2 x 73 = 22415331820

Therefore, the lowest common multiple of 509,310,973,556,146 is 22415331820.

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 310 x 973 x 556 x 146 = 12462924491920

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

973 : 1, 7, 139, 973

556 : 1, 2, 4, 139, 278, 556

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,310,973,556,146, is 1.

Now, the common factors can be found like this.

509:509

310:2x 5x 31

973:7x 139

556:2x 2x 139

146:2x 73

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 139 = 556

Therefore, the value for common factors is 556.

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 = 12462924491920/(1x556)

LCM = 12462924491920/556

LCM = 22415331820

Thus, we can understand that the LCM of 509,310,973,556,146 is 22415331820.

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

• LCM of 219, 220, 879, 388, 908
• LCM of 946, 863, 681, 984, 896
• LCM of 638, 677, 731, 298, 495
• LCM of 625, 501, 123, 873, 200
• LCM of 534, 482, 717, 300, 800

1. What is the LCM of 509, 310, 973, 556, 146?

Answer: LCM of 509, 310, 973, 556, 146 is 22415331820.

2. How to calculate the LCM of 509, 310, 973, 556, 146?

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, 310, 973, 556, 146.

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}.