Given numbers are 504,556,420,596

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

The LCM of 504,556,420,596 is 52191720.

Find LCM of 504,556,420,596 with Prime Factorization

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

2 x 2 x 3 x 7 x 6 x 139 x 5 x 149 = 52191720

Therefore, the lowest common multiple of 504,556,420,596 is 52191720.

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.

504 x 556 x 420 x 596 = 70145671680

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

596 : 1, 2, 4, 149, 298, 596

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,556,420,596, is 4.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

556:2x 2x 139

420:2x 2x 3x 5x 7

596:2x 2x 149

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 70145671680/(4x336)

LCM = 70145671680/1344

LCM = 52191720

Thus, we can understand that the LCM of 504,556,420,596 is 52191720.

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

• LCM of 853, 369, 207, 117
• LCM of 949, 551, 842, 418
• LCM of 836, 184, 868, 382
• LCM of 460, 747, 826, 554
• LCM of 100, 230, 295, 982

1. What is the LCM of 504, 556, 420, 596?

Answer: LCM of 504, 556, 420, 596 is 52191720.

2. How to calculate the LCM of 504, 556, 420, 596?

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 504, 556, 420, 596.

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}.