Given numbers are 214,247,171

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

The LCM of 214,247,171 is 475722.

Find LCM of 214,247,171 with Prime Factorization

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

19 x 214 x 13 x 9 = 475722

Therefore, the lowest common multiple of 214,247,171 is 475722.

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.

214 x 247 x 171 = 9038718

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.

214 : 1, 2, 107, 214

247 : 1, 13, 19, 247

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,247,171, is 1.

Now, the common factors can be found like this.

214:2x 107

247:13x 19

171:3x 3x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 9038718/(1x19)

LCM = 9038718/19

LCM = 475722

Thus, we can understand that the LCM of 214,247,171 is 475722.

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

• LCM of 997, 816, 452
• LCM of 651, 699, 319
• LCM of 811, 202, 147
• LCM of 208, 528, 914
• LCM of 479, 208, 987

1. What is the LCM of 214, 247, 171?

Answer: LCM of 214, 247, 171 is 475722.

2. How to calculate the LCM of 214, 247, 171?

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 214, 247, 171.

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}.