Given numbers are 201,680,814

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

The LCM of 201,680,814 is 55628760.

Find LCM of 201,680,814 with Prime Factorization

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

2 x 201 x 340 x 407 = 55628760

Therefore, the lowest common multiple of 201,680,814 is 55628760.

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 680 x 814 = 111257520

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,680,814, is 1.

Now, the common factors can be found like this.

201:3x 67

680:2x 2x 2x 5x 17

814:2x 11x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 111257520/(1x2)

LCM = 111257520/2

LCM = 55628760

Thus, we can understand that the LCM of 201,680,814 is 55628760.

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

• LCM of 638, 339, 456
• LCM of 484, 125, 404
• LCM of 692, 679, 740
• LCM of 188, 458, 769
• LCM of 115, 806, 262

1. What is the LCM of 201, 680, 814?

Answer: LCM of 201, 680, 814 is 55628760.

2. How to calculate the LCM of 201, 680, 814?

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, 680, 814.

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}.