Given numbers are 824,639,312,540

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

The LCM of 824,639,312,540 is 102674520.

Find LCM of 824,639,312,540 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 103 x 71 x 13 x 15 = 102674520

Therefore, the lowest common multiple of 824,639,312,540 is 102674520.

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.

824 x 639 x 312 x 540 = 88710785280

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

639 : 1, 3, 9, 71, 213, 639

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,639,312,540, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

639:3x 3x 71

312:2x 2x 2x 3x 13

540:2x 2x 3x 3x 3x 5

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 88710785280/(1x864)

LCM = 88710785280/864

LCM = 102674520

Thus, we can understand that the LCM of 824,639,312,540 is 102674520.

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

• LCM of 204, 218, 242, 840
• LCM of 661, 311, 999, 165
• LCM of 187, 684, 439, 815
• LCM of 569, 754, 156, 438
• LCM of 149, 372, 928, 263

1. What is the LCM of 824, 639, 312, 540?

Answer: LCM of 824, 639, 312, 540 is 102674520.

2. How to calculate the LCM of 824, 639, 312, 540?

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 824, 639, 312, 540.

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}.