Given numbers are 392,480,243,523

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

The LCM of 392,480,243,523 is 996377760.

Find LCM of 392,480,243,523 with Prime Factorization

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

2 x 2 x 2 x 3 x 49 x 20 x 81 x 523 = 996377760

Therefore, the lowest common multiple of 392,480,243,523 is 996377760.

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 480 x 243 x 523 = 23913066240

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

243 : 1, 3, 9, 27, 81, 243

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,480,243,523, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

480:2x 2x 2x 2x 2x 3x 5

243:3x 3x 3x 3x 3

523:523

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 3 = 24

Therefore, the value for common factors is 24.

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 = 23913066240/(1x24)

LCM = 23913066240/24

LCM = 996377760

Thus, we can understand that the LCM of 392,480,243,523 is 996377760.

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

• LCM of 350, 182, 821, 450
• LCM of 823, 591, 994, 479
• LCM of 218, 174, 297, 751
• LCM of 102, 219, 904, 846
• LCM of 463, 590, 724, 295

1. What is the LCM of 392, 480, 243, 523?

Answer: LCM of 392, 480, 243, 523 is 996377760.

2. How to calculate the LCM of 392, 480, 243, 523?

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, 480, 243, 523.

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}.