Given numbers are 215,14,350

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

The LCM of 215,14,350 is 15050.

Find LCM of 215,14,350 with Prime Factorization

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

2 x 5 x 7 x 43 x 1 x 5 = 15050

Therefore, the lowest common multiple of 215,14,350 is 15050.

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.

215 x 14 x 350 = 1053500

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.

215 : 1, 5, 43, 215

14 : 1, 2, 7, 14

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,14,350, is 1.

Now, the common factors can be found like this.

215:5x 43

14:2x 7

350:2x 5x 5x 7

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

2x 5x 7 = 70

Therefore, the value for common factors is 70.

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 = 1053500/(1x70)

LCM = 1053500/70

LCM = 15050

Thus, we can understand that the LCM of 215,14,350 is 15050.

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

• LCM of 233, 26, 815
• LCM of 737, 10, 423
• LCM of 334, 87, 401
• LCM of 731, 67, 966
• LCM of 422, 51, 711

1. What is the LCM of 215, 14, 350?

Answer: LCM of 215, 14, 350 is 15050.

2. How to calculate the LCM of 215, 14, 350?

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 215, 14, 350.

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}.