Given numbers are 624,660,504,444,313

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

The LCM of 624,660,504,444,313 is 8346658320.

Find LCM of 624,660,504,444,313 with Prime Factorization

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

2 x 2 x 2 x 3 x 26 x 55 x 21 x 37 x 313 = 8346658320

Therefore, the lowest common multiple of 624,660,504,444,313 is 8346658320.

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 660 x 504 x 444 x 313 = 28846051153920

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

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

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

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,660,504,444,313, is 1.

Now, the common factors can be found like this.

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

660:2x 2x 3x 5x 11

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

444:2x 2x 3x 37

313:313

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 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 28846051153920/(1x3456)

LCM = 28846051153920/3456

LCM = 8346658320

Thus, we can understand that the LCM of 624,660,504,444,313 is 8346658320.

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

• LCM of 350, 939, 976, 536, 756
• LCM of 548, 166, 842, 857, 849
• LCM of 637, 427, 387, 483, 189
• LCM of 334, 945, 207, 169, 145
• LCM of 104, 331, 300, 831, 419

1. What is the LCM of 624, 660, 504, 444, 313?

Answer: LCM of 624, 660, 504, 444, 313 is 8346658320.

2. How to calculate the LCM of 624, 660, 504, 444, 313?

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, 660, 504, 444, 313.

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}.