Given numbers are 487,14,214

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

The LCM of 487,14,214 is 729526.

Find LCM of 487,14,214 with Prime Factorization

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

2 x 487 x 7 x 107 = 729526

Therefore, the lowest common multiple of 487,14,214 is 729526.

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.

487 x 14 x 214 = 1459052

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.

487 : 1, 487

14 : 1, 2, 7, 14

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,14,214, is 1.

Now, the common factors can be found like this.

487:487

14:2x 7

214:2x 107

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 = 1459052/(1x2)

LCM = 1459052/2

LCM = 729526

Thus, we can understand that the LCM of 487,14,214 is 729526.

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

• LCM of 738, 45, 517
• LCM of 483, 55, 572
• LCM of 522, 54, 734
• LCM of 833, 41, 511
• LCM of 937, 12, 522

1. What is the LCM of 487, 14, 214?

Answer: LCM of 487, 14, 214 is 729526.

2. How to calculate the LCM of 487, 14, 214?

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 487, 14, 214.

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}.