Given numbers are 489,758,378,528

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

The LCM of 489,758,378,528 is 2054950128.

Find LCM of 489,758,378,528 with Prime Factorization

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

2 x 3 x 163 x 379 x 63 x 88 = 2054950128

Therefore, the lowest common multiple of 489,758,378,528 is 2054950128.

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.

489 x 758 x 378 x 528 = 73978204608

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.

489 : 1, 3, 163, 489

758 : 1, 2, 379, 758

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,758,378,528, is 1.

Now, the common factors can be found like this.

489:3x 163

758:2x 379

378:2x 3x 3x 3x 7

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.

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 73978204608/(1x36)

LCM = 73978204608/36

LCM = 2054950128

Thus, we can understand that the LCM of 489,758,378,528 is 2054950128.

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

• LCM of 695, 861, 158, 904
• LCM of 911, 408, 203, 840
• LCM of 518, 732, 437, 378
• LCM of 434, 364, 896, 430
• LCM of 742, 520, 459, 685

1. What is the LCM of 489, 758, 378, 528?

Answer: LCM of 489, 758, 378, 528 is 2054950128.

2. How to calculate the LCM of 489, 758, 378, 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 489, 758, 378, 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}.