Given numbers are 392,538,864,820

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

The LCM of 392,538,864,820 is 2334618720.

Find LCM of 392,538,864,820 with Prime Factorization

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

2 x 2 x 2 x 49 x 269 x 108 x 205 = 2334618720

Therefore, the lowest common multiple of 392,538,864,820 is 2334618720.

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 538 x 864 x 820 = 149415598080

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

538 : 1, 2, 269, 538

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

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,538,864,820, is 2.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

538:2x 269

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

820:2x 2x 5x 41

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 2 = 32

Therefore, the value for common factors is 32.

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 = 149415598080/(2x32)

LCM = 149415598080/64

LCM = 2334618720

Thus, we can understand that the LCM of 392,538,864,820 is 2334618720.

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

• LCM of 585, 989, 434, 833
• LCM of 273, 443, 846, 145
• LCM of 661, 148, 567, 273
• LCM of 731, 964, 139, 919
• LCM of 186, 581, 973, 882

1. What is the LCM of 392, 538, 864, 820?

Answer: LCM of 392, 538, 864, 820 is 2334618720.

2. How to calculate the LCM of 392, 538, 864, 820?

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, 538, 864, 820.

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}.