Given numbers are 492,725,208,193

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

The LCM of 492,725,208,193 is 3579841200.

Find LCM of 492,725,208,193 with Prime Factorization

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

2 x 2 x 123 x 725 x 52 x 193 = 3579841200

Therefore, the lowest common multiple of 492,725,208,193 is 3579841200.

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 725 x 208 x 193 = 14319364800

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

725 : 1, 5, 25, 29, 145, 725

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,725,208,193, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

725:5x 5x 29

208:2x 2x 2x 2x 13

193:193

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14319364800/(1x4)

LCM = 14319364800/4

LCM = 3579841200

Thus, we can understand that the LCM of 492,725,208,193 is 3579841200.

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

• LCM of 322, 628, 679, 196
• LCM of 387, 643, 851, 971
• LCM of 847, 258, 724, 239
• LCM of 633, 740, 220, 913
• LCM of 949, 526, 597, 143

1. What is the LCM of 492, 725, 208, 193?

Answer: LCM of 492, 725, 208, 193 is 3579841200.

2. How to calculate the LCM of 492, 725, 208, 193?

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, 725, 208, 193.

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}.