Given numbers are 624,421,412,578

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

The LCM of 624,421,412,578 is 7819909968.

Find LCM of 624,421,412,578 with Prime Factorization

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

2 x 2 x 156 x 421 x 103 x 289 = 7819909968

Therefore, the lowest common multiple of 624,421,412,578 is 7819909968.

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 421 x 412 x 578 = 62559279744

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

421 : 1, 421

412 : 1, 2, 4, 103, 206, 412

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,421,412,578, is 1.

Now, the common factors can be found like this.

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

421:421

412:2x 2x 103

578:2x 17x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 62559279744/(1x8)

LCM = 62559279744/8

LCM = 7819909968

Thus, we can understand that the LCM of 624,421,412,578 is 7819909968.

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

• LCM of 117, 363, 751, 714
• LCM of 985, 344, 900, 729
• LCM of 213, 845, 296, 885
• LCM of 214, 868, 221, 238
• LCM of 862, 889, 758, 529

1. What is the LCM of 624, 421, 412, 578?

Answer: LCM of 624, 421, 412, 578 is 7819909968.

2. How to calculate the LCM of 624, 421, 412, 578?

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, 421, 412, 578.

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}.