Given numbers are 489,596,149

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

The LCM of 489,596,149 is 291444.

Find LCM of 489,596,149 with Prime Factorization

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

149 x 489 x 4 x 1 = 291444

Therefore, the lowest common multiple of 489,596,149 is 291444.

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 596 x 149 = 43425156

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

596 : 1, 2, 4, 149, 298, 596

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,596,149, is 1.

Now, the common factors can be found like this.

489:3x 163

596:2x 2x 149

149:149

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

149 = 149

Therefore, the value for common factors is 149.

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 = 43425156/(1x149)

LCM = 43425156/149

LCM = 291444

Thus, we can understand that the LCM of 489,596,149 is 291444.

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

• LCM of 531, 340, 583
• LCM of 163, 399, 614
• LCM of 332, 643, 279
• LCM of 186, 254, 156
• LCM of 370, 766, 665

1. What is the LCM of 489, 596, 149?

Answer: LCM of 489, 596, 149 is 291444.

2. How to calculate the LCM of 489, 596, 149?

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, 596, 149.

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}.