Given numbers are 201,420,540,214

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

The LCM of 201,420,540,214 is 27098820.

Find LCM of 201,420,540,214 with Prime Factorization

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

2 x 2 x 3 x 5 x 67 x 7 x 9 x 107 = 27098820

Therefore, the lowest common multiple of 201,420,540,214 is 27098820.

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 420 x 540 x 214 = 9755575200

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,420,540,214, is 1.

Now, the common factors can be found like this.

201:3x 67

420:2x 2x 3x 5x 7

540:2x 2x 3x 3x 3x 5

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 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 9755575200/(1x360)

LCM = 9755575200/360

LCM = 27098820

Thus, we can understand that the LCM of 201,420,540,214 is 27098820.

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

• LCM of 108, 368, 366, 915
• LCM of 603, 219, 597, 880
• LCM of 901, 314, 282, 524
• LCM of 421, 530, 679, 144
• LCM of 832, 848, 127, 631

1. What is the LCM of 201, 420, 540, 214?

Answer: LCM of 201, 420, 540, 214 is 27098820.

2. How to calculate the LCM of 201, 420, 540, 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, 420, 540, 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}.