Given numbers are 504,694,424,168

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

The LCM of 504,694,424,168 is 9269064.

Find LCM of 504,694,424,168 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 1 x 347 x 53 x 3 = 9269064

Therefore, the lowest common multiple of 504,694,424,168 is 9269064.

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 694 x 424 x 168 = 24915244032

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

694 : 1, 2, 347, 694

424 : 1, 2, 4, 8, 53, 106, 212, 424

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,694,424,168, is 2.

Now, the common factors can be found like this.

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

694:2x 347

424:2x 2x 2x 53

168:2x 2x 2x 3x 7

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 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 24915244032/(2x1344)

LCM = 24915244032/2688

LCM = 9269064

Thus, we can understand that the LCM of 504,694,424,168 is 9269064.

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

• LCM of 158, 588, 947, 458
• LCM of 919, 567, 687, 903
• LCM of 192, 872, 996, 760
• LCM of 270, 526, 520, 713
• LCM of 969, 149, 432, 359

1. What is the LCM of 504, 694, 424, 168?

Answer: LCM of 504, 694, 424, 168 is 9269064.

2. How to calculate the LCM of 504, 694, 424, 168?

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, 694, 424, 168.

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}.