Given numbers are 492,711,305,237,399

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

The LCM of 492,711,305,237,399 is 4730041260.

Find LCM of 492,711,305,237,399 with Prime Factorization

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

3 x 79 x 164 x 3 x 305 x 1 x 133 = 4730041260

Therefore, the lowest common multiple of 492,711,305,237,399 is 4730041260.

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.

492 x 711 x 305 x 237 x 399 = 10089178007580

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

711 : 1, 3, 9, 79, 237, 711

305 : 1, 5, 61, 305

237 : 1, 3, 79, 237

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,711,305,237,399, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

711:3x 3x 79

305:5x 61

237:3x 79

399:3x 7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 79 = 2133

Therefore, the value for common factors is 2133.

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 = 10089178007580/(1x2133)

LCM = 10089178007580/2133

LCM = 4730041260

Thus, we can understand that the LCM of 492,711,305,237,399 is 4730041260.

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

• LCM of 565, 743, 499, 462, 491
• LCM of 361, 997, 703, 549, 906
• LCM of 747, 856, 154, 394, 138
• LCM of 835, 703, 584, 625, 616
• LCM of 120, 970, 172, 621, 846

1. What is the LCM of 492, 711, 305, 237, 399?

Answer: LCM of 492, 711, 305, 237, 399 is 4730041260.

2. How to calculate the LCM of 492, 711, 305, 237, 399?

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 492, 711, 305, 237, 399.

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}.