Given numbers are 392,920,346,864

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

The LCM of 392,920,346,864 is 842274720.

Find LCM of 392,920,346,864 with Prime Factorization

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

2 x 2 x 2 x 49 x 115 x 173 x 108 = 842274720

Therefore, the lowest common multiple of 392,920,346,864 is 842274720.

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.

392 x 920 x 346 x 864 = 107811164160

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

346 : 1, 2, 173, 346

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,920,346,864, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

920:2x 2x 2x 5x 23

346:2x 173

864:2x 2x 2x 2x 2x 3x 3x 3

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 2 = 64

Therefore, the value for common factors is 64.

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 = 107811164160/(2x64)

LCM = 107811164160/128

LCM = 842274720

Thus, we can understand that the LCM of 392,920,346,864 is 842274720.

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

• LCM of 406, 911, 916, 308
• LCM of 888, 450, 960, 589
• LCM of 432, 523, 599, 820
• LCM of 744, 250, 822, 956
• LCM of 417, 471, 569, 750

1. What is the LCM of 392, 920, 346, 864?

Answer: LCM of 392, 920, 346, 864 is 842274720.

2. How to calculate the LCM of 392, 920, 346, 864?

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 392, 920, 346, 864.

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}.