Given numbers are 504,916,312,327,879

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

The LCM of 504,916,312,327,879 is 47918530296.

Find LCM of 504,916,312,327,879 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 229 x 13 x 109 x 293 = 47918530296

Therefore, the lowest common multiple of 504,916,312,327,879 is 47918530296.

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 916 x 312 x 327 x 879 = 41401610175744

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

916 : 1, 2, 4, 229, 458, 916

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

327 : 1, 3, 109, 327

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,916,312,327,879, is 1.

Now, the common factors can be found like this.

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

916:2x 2x 229

312:2x 2x 2x 3x 13

327:3x 109

879:3x 293

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 41401610175744/(1x864)

LCM = 41401610175744/864

LCM = 47918530296

Thus, we can understand that the LCM of 504,916,312,327,879 is 47918530296.

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

• LCM of 200, 548, 500, 789, 790
• LCM of 143, 401, 637, 229, 412
• LCM of 196, 253, 382, 888, 498
• LCM of 137, 927, 140, 533, 314
• LCM of 133, 911, 309, 334, 642

1. What is the LCM of 504, 916, 312, 327, 879?

Answer: LCM of 504, 916, 312, 327, 879 is 47918530296.

2. How to calculate the LCM of 504, 916, 312, 327, 879?

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, 916, 312, 327, 879.

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}.