Given numbers are 138,200,214,201

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

The LCM of 138,200,214,201 is 98932200.

Find LCM of 138,200,214,201 with Prime Factorization

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

2 x 3 x 23 x 100 x 107 x 67 = 98932200

Therefore, the lowest common multiple of 138,200,214,201 is 98932200.

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.

138 x 200 x 214 x 201 = 1187186400

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

214 : 1, 2, 107, 214

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,200,214,201, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

200:2x 2x 2x 5x 5

214:2x 107

201:3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1187186400/(1x12)

LCM = 1187186400/12

LCM = 98932200

Thus, we can understand that the LCM of 138,200,214,201 is 98932200.

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

• LCM of 437, 247, 201, 905
• LCM of 405, 552, 734, 427
• LCM of 353, 699, 924, 264
• LCM of 667, 396, 532, 823
• LCM of 877, 826, 510, 541

1. What is the LCM of 138, 200, 214, 201?

Answer: LCM of 138, 200, 214, 201 is 98932200.

2. How to calculate the LCM of 138, 200, 214, 201?

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 138, 200, 214, 201.

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}.