Given numbers are 363,145,928

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

The LCM of 363,145,928 is 1684320.

Find LCM of 363,145,928 with Prime Factorization

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

29 x 363 x 5 x 32 = 1684320

Therefore, the lowest common multiple of 363,145,928 is 1684320.

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.

363 x 145 x 928 = 48845280

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.

363 : 1, 3, 11, 33, 121, 363

145 : 1, 5, 29, 145

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,145,928, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

145:5x 29

928:2x 2x 2x 2x 2x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 48845280/(1x29)

LCM = 48845280/29

LCM = 1684320

Thus, we can understand that the LCM of 363,145,928 is 1684320.

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

• LCM of 231, 144, 136
• LCM of 260, 265, 596
• LCM of 374, 983, 114
• LCM of 191, 172, 904
• LCM of 737, 508, 351

1. What is the LCM of 363, 145, 928?

Answer: LCM of 363, 145, 928 is 1684320.

2. How to calculate the LCM of 363, 145, 928?

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 363, 145, 928.

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}.