Given numbers are 408,504,876,708

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

The LCM of 408,504,876,708 is 36902376.

Find LCM of 408,504,876,708 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 21 x 73 x 59 = 36902376

Therefore, the lowest common multiple of 408,504,876,708 is 36902376.

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.

408 x 504 x 876 x 708 = 127534611456

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

12 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,504,876,708, is 12.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

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

876:2x 2x 3x 73

708:2x 2x 3x 59

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 3 = 288

Therefore, the value for common factors is 288.

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 = 127534611456/(12x288)

LCM = 127534611456/3456

LCM = 36902376

Thus, we can understand that the LCM of 408,504,876,708 is 36902376.

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

• LCM of 666, 455, 837, 248
• LCM of 183, 106, 287, 336
• LCM of 784, 690, 190, 862
• LCM of 762, 381, 169, 913
• LCM of 899, 751, 713, 650

1. What is the LCM of 408, 504, 876, 708?

Answer: LCM of 408, 504, 876, 708 is 36902376.

2. How to calculate the LCM of 408, 504, 876, 708?

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 408, 504, 876, 708.

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}.