Given numbers are 504,660,747,624

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

The LCM of 504,660,747,624 is 59819760.

Find LCM of 504,660,747,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 55 x 83 x 26 = 59819760

Therefore, the lowest common multiple of 504,660,747,624 is 59819760.

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 660 x 747 x 624 = 155052817920

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

747 : 1, 3, 9, 83, 249, 747

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,660,747,624, is 3.

Now, the common factors can be found like this.

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

660:2x 2x 3x 5x 11

747:3x 3x 83

624:2x 2x 2x 2x 3x 13

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 = 155052817920/(3x864)

LCM = 155052817920/2592

LCM = 59819760

Thus, we can understand that the LCM of 504,660,747,624 is 59819760.

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

• LCM of 806, 509, 522, 907
• LCM of 692, 815, 425, 900
• LCM of 664, 185, 563, 168
• LCM of 384, 851, 337, 632
• LCM of 499, 852, 797, 380

1. What is the LCM of 504, 660, 747, 624?

Answer: LCM of 504, 660, 747, 624 is 59819760.

2. How to calculate the LCM of 504, 660, 747, 624?

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, 660, 747, 624.

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}.