Given numbers are 624,699,509,420,873

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

The LCM of 624,699,509,420,873 is 753736117680.

Find LCM of 624,699,509,420,873 with Prime Factorization

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

2 x 2 x 3 x 52 x 233 x 509 x 35 x 291 = 753736117680

Therefore, the lowest common multiple of 624,699,509,420,873 is 753736117680.

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.

624 x 699 x 509 x 420 x 873 = 81403500709440

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.

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

699 : 1, 3, 233, 699

509 : 1, 509

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,699,509,420,873, is 1.

Now, the common factors can be found like this.

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

699:3x 233

509:509

420:2x 2x 3x 5x 7

873:3x 3x 97

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 81403500709440/(1x108)

LCM = 81403500709440/108

LCM = 753736117680

Thus, we can understand that the LCM of 624,699,509,420,873 is 753736117680.

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

• LCM of 550, 920, 935, 792, 903
• LCM of 987, 239, 740, 495, 705
• LCM of 317, 699, 691, 138, 317
• LCM of 233, 108, 976, 541, 798
• LCM of 126, 658, 473, 524, 514

1. What is the LCM of 624, 699, 509, 420, 873?

Answer: LCM of 624, 699, 509, 420, 873 is 753736117680.

2. How to calculate the LCM of 624, 699, 509, 420, 873?

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 624, 699, 509, 420, 873.

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}.