Given numbers are 489,178,614

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

The LCM of 489,178,614 is 26721894.

Find LCM of 489,178,614 with Prime Factorization

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

2 x 489 x 89 x 307 = 26721894

Therefore, the lowest common multiple of 489,178,614 is 26721894.

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 178 x 614 = 53443788

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

178 : 1, 2, 89, 178

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,178,614, is 1.

Now, the common factors can be found like this.

489:3x 163

178:2x 89

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 53443788/(1x2)

LCM = 53443788/2

LCM = 26721894

Thus, we can understand that the LCM of 489,178,614 is 26721894.

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

• LCM of 987, 436, 213
• LCM of 379, 869, 862
• LCM of 916, 597, 118
• LCM of 422, 910, 519
• LCM of 377, 258, 885

1. What is the LCM of 489, 178, 614?

Answer: LCM of 489, 178, 614 is 26721894.

2. How to calculate the LCM of 489, 178, 614?

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, 178, 614.

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}.