Given numbers are 492,303,776,747,352

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

The LCM of 492,303,776,747,352 is 105618557088.

Find LCM of 492,303,776,747,352 with Prime Factorization

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

2 x 2 x 2 x 3 x 41 x 101 x 97 x 249 x 44 = 105618557088

Therefore, the lowest common multiple of 492,303,776,747,352 is 105618557088.

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 303 x 776 x 747 x 352 = 30418144441344

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

303 : 1, 3, 101, 303

776 : 1, 2, 4, 8, 97, 194, 388, 776

747 : 1, 3, 9, 83, 249, 747

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,303,776,747,352, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

303:3x 101

776:2x 2x 2x 97

747:3x 3x 83

352:2x 2x 2x 2x 2x 11

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 30418144441344/(1x288)

LCM = 30418144441344/288

LCM = 105618557088

Thus, we can understand that the LCM of 492,303,776,747,352 is 105618557088.

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

• LCM of 916, 611, 123, 577, 748
• LCM of 393, 581, 721, 339, 523
• LCM of 950, 213, 997, 890, 347
• LCM of 613, 783, 853, 648, 418
• LCM of 778, 156, 120, 487, 119

1. What is the LCM of 492, 303, 776, 747, 352?

Answer: LCM of 492, 303, 776, 747, 352 is 105618557088.

2. How to calculate the LCM of 492, 303, 776, 747, 352?

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, 303, 776, 747, 352.

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}.