Given numbers are 504,607,264,552

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

The LCM of 504,607,264,552 is 77399784.

Find LCM of 504,607,264,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 607 x 11 x 23 = 77399784

Therefore, the lowest common multiple of 504,607,264,552 is 77399784.

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 607 x 264 x 552 = 44582275584

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

607 : 1, 607

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,607,264,552, is 1.

Now, the common factors can be found like this.

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

607:607

264:2x 2x 2x 3x 11

552:2x 2x 2x 3x 23

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 3 = 576

Therefore, the value for common factors is 576.

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 = 44582275584/(1x576)

LCM = 44582275584/576

LCM = 77399784

Thus, we can understand that the LCM of 504,607,264,552 is 77399784.

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

• LCM of 727, 818, 525, 550
• LCM of 252, 856, 412, 964
• LCM of 644, 942, 689, 308
• LCM of 797, 675, 447, 369
• LCM of 904, 872, 142, 432

1. What is the LCM of 504, 607, 264, 552?

Answer: LCM of 504, 607, 264, 552 is 77399784.

2. How to calculate the LCM of 504, 607, 264, 552?

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, 607, 264, 552.

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}.