Given numbers are 489,30,278

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

The LCM of 489,30,278 is 679710.

Find LCM of 489,30,278 with Prime Factorization

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

2 x 3 x 163 x 5 x 139 = 679710

Therefore, the lowest common multiple of 489,30,278 is 679710.

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 30 x 278 = 4078260

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

30 : 1, 2, 3, 5, 6, 10, 15, 30

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,30,278, is 1.

Now, the common factors can be found like this.

489:3x 163

30:2x 3x 5

278:2x 139

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4078260/(1x6)

LCM = 4078260/6

LCM = 679710

Thus, we can understand that the LCM of 489,30,278 is 679710.

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

• LCM of 116, 47, 272
• LCM of 724, 45, 393
• LCM of 345, 95, 145
• LCM of 308, 14, 751
• LCM of 865, 55, 428

1. What is the LCM of 489, 30, 278?

Answer: LCM of 489, 30, 278 is 679710.

2. How to calculate the LCM of 489, 30, 278?

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, 30, 278.

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}.