Given numbers are 483,519,528

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

The LCM of 483,519,528 is 14706384.

Find LCM of 483,519,528 with Prime Factorization

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

3 x 161 x 173 x 176 = 14706384

Therefore, the lowest common multiple of 483,519,528 is 14706384.

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.

483 x 519 x 528 = 132357456

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

519 : 1, 3, 173, 519

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,519,528, is 3.

Now, the common factors can be found like this.

483:3x 7x 23

519:3x 173

528:2x 2x 2x 2x 3x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 132357456/(3x3)

LCM = 132357456/9

LCM = 14706384

Thus, we can understand that the LCM of 483,519,528 is 14706384.

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

• LCM of 369, 983, 558
• LCM of 116, 745, 921
• LCM of 161, 476, 510
• LCM of 431, 509, 379
• LCM of 714, 346, 124

1. What is the LCM of 483, 519, 528?

Answer: LCM of 483, 519, 528 is 14706384.

2. How to calculate the LCM of 483, 519, 528?

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 483, 519, 528.

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}.