Given numbers are 624,390,956,924

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

The LCM of 624,390,956,924 is 57417360.

Find LCM of 624,390,956,924 with Prime Factorization

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

2 x 2 x 3 x 13 x 4 x 5 x 239 x 77 = 57417360

Therefore, the lowest common multiple of 624,390,956,924 is 57417360.

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 390 x 956 x 924 = 214970595840

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

956 : 1, 2, 4, 239, 478, 956

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,390,956,924, is 2.

Now, the common factors can be found like this.

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

390:2x 3x 5x 13

956:2x 2x 239

924:2x 2x 3x 7x 11

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 214970595840/(2x1872)

LCM = 214970595840/3744

LCM = 57417360

Thus, we can understand that the LCM of 624,390,956,924 is 57417360.

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

• LCM of 691, 624, 712, 942
• LCM of 904, 324, 194, 277
• LCM of 635, 962, 231, 949
• LCM of 642, 267, 920, 442
• LCM of 408, 758, 534, 124

1. What is the LCM of 624, 390, 956, 924?

Answer: LCM of 624, 390, 956, 924 is 57417360.

2. How to calculate the LCM of 624, 390, 956, 924?

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, 390, 956, 924.

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}.