Given numbers are 624,364,319,816

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

The LCM of 624,364,319,816 is 23687664.

Find LCM of 624,364,319,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 1 x 7 x 319 x 17 = 23687664

Therefore, the lowest common multiple of 624,364,319,816 is 23687664.

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 364 x 319 x 816 = 59124409344

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

319 : 1, 11, 29, 319

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,364,319,816, is 1.

Now, the common factors can be found like this.

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

364:2x 2x 7x 13

319:11x 29

816:2x 2x 2x 2x 3x 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 2x 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 59124409344/(1x2496)

LCM = 59124409344/2496

LCM = 23687664

Thus, we can understand that the LCM of 624,364,319,816 is 23687664.

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

• LCM of 838, 210, 241, 656
• LCM of 832, 352, 880, 899
• LCM of 386, 144, 767, 545
• LCM of 873, 818, 819, 188
• LCM of 142, 816, 417, 189

1. What is the LCM of 624, 364, 319, 816?

Answer: LCM of 624, 364, 319, 816 is 23687664.

2. How to calculate the LCM of 624, 364, 319, 816?

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, 364, 319, 816.

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}.