Given numbers are 804,201,962,373,414

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

The LCM of 804,201,962,373,414 is 9953115588.

Find LCM of 804,201,962,373,414 with Prime Factorization

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

2 x 3 x 67 x 2 x 1 x 481 x 373 x 69 = 9953115588

Therefore, the lowest common multiple of 804,201,962,373,414 is 9953115588.

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.

804 x 201 x 962 x 373 x 414 = 24006914798256

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

201 : 1, 3, 67, 201

962 : 1, 2, 13, 26, 37, 74, 481, 962

373 : 1, 373

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 804,201,962,373,414, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

201:3x 67

962:2x 13x 37

373:373

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 3x 67 = 2412

Therefore, the value for common factors is 2412.

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 = 24006914798256/(1x2412)

LCM = 24006914798256/2412

LCM = 9953115588

Thus, we can understand that the LCM of 804,201,962,373,414 is 9953115588.

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

• LCM of 633, 116, 123, 636, 739
• LCM of 654, 358, 868, 537, 659
• LCM of 931, 499, 486, 814, 241
• LCM of 533, 866, 154, 101, 127
• LCM of 134, 514, 143, 263, 249

1. What is the LCM of 804, 201, 962, 373, 414?

Answer: LCM of 804, 201, 962, 373, 414 is 9953115588.

2. How to calculate the LCM of 804, 201, 962, 373, 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 804, 201, 962, 373, 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}.