Given numbers are 201,134,188,214

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

The LCM of 201,134,188,214 is 4043316.

Find LCM of 201,134,188,214 with Prime Factorization

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

2 x 67 x 3 x 1 x 94 x 107 = 4043316

Therefore, the lowest common multiple of 201,134,188,214 is 4043316.

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.

201 x 134 x 188 x 214 = 1083608688

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.

201 : 1, 3, 67, 201

134 : 1, 2, 67, 134

188 : 1, 2, 4, 47, 94, 188

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,134,188,214, is 1.

Now, the common factors can be found like this.

201:3x 67

134:2x 67

188:2x 2x 47

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.

2x 2x 67 = 268

Therefore, the value for common factors is 268.

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 = 1083608688/(1x268)

LCM = 1083608688/268

LCM = 4043316

Thus, we can understand that the LCM of 201,134,188,214 is 4043316.

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

• LCM of 138, 886, 712, 716
• LCM of 940, 345, 341, 173
• LCM of 922, 454, 974, 669
• LCM of 480, 649, 147, 942
• LCM of 936, 113, 525, 806

1. What is the LCM of 201, 134, 188, 214?

Answer: LCM of 201, 134, 188, 214 is 4043316.

2. How to calculate the LCM of 201, 134, 188, 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 201, 134, 188, 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}.