Given numbers are 201,408,734,414

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

The LCM of 201,408,734,414 is 692229528.

Find LCM of 201,408,734,414 with Prime Factorization

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

2 x 3 x 67 x 68 x 367 x 69 = 692229528

Therefore, the lowest common multiple of 201,408,734,414 is 692229528.

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 408 x 734 x 414 = 24920263008

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

734 : 1, 2, 367, 734

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,408,734,414, is 1.

Now, the common factors can be found like this.

201:3x 67

408:2x 2x 2x 3x 17

734:2x 367

414:2x 3x 3x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 24920263008/(1x36)

LCM = 24920263008/36

LCM = 692229528

Thus, we can understand that the LCM of 201,408,734,414 is 692229528.

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

• LCM of 367, 375, 770, 470
• LCM of 236, 261, 541, 334
• LCM of 302, 658, 648, 685
• LCM of 801, 941, 279, 292
• LCM of 759, 183, 800, 683

1. What is the LCM of 201, 408, 734, 414?

Answer: LCM of 201, 408, 734, 414 is 692229528.

2. How to calculate the LCM of 201, 408, 734, 414?

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, 408, 734, 414.

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}.