Given numbers are 492,403,104,289,780

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

The LCM of 492,403,104,289,780 is 573017640.

Find LCM of 492,403,104,289,780 with Prime Factorization

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

2 x 2 x 3 x 13 x 41 x 31 x 2 x 289 x 5 = 573017640

Therefore, the lowest common multiple of 492,403,104,289,780 is 573017640.

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 403 x 104 x 289 x 780 = 4648319095680

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

403 : 1, 13, 31, 403

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

289 : 1, 17, 289

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,403,104,289,780, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

403:13x 31

104:2x 2x 2x 13

289:17x 17

780:2x 2x 3x 5x 13

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 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 4648319095680/(1x8112)

LCM = 4648319095680/8112

LCM = 573017640

Thus, we can understand that the LCM of 492,403,104,289,780 is 573017640.

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

• LCM of 994, 434, 742, 189, 248
• LCM of 428, 863, 730, 862, 813
• LCM of 315, 216, 509, 609, 157
• LCM of 569, 326, 235, 780, 138
• LCM of 933, 660, 926, 323, 548

1. What is the LCM of 492, 403, 104, 289, 780?

Answer: LCM of 492, 403, 104, 289, 780 is 573017640.

2. How to calculate the LCM of 492, 403, 104, 289, 780?

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, 403, 104, 289, 780.

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}.