Given numbers are 291,399,372,414,804

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

The LCM of 291,399,372,414,804 is 22186572156.

Find LCM of 291,399,372,414,804 with Prime Factorization

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

2 x 2 x 3 x 97 x 133 x 31 x 69 x 67 = 22186572156

Therefore, the lowest common multiple of 291,399,372,414,804 is 22186572156.

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.

291 x 399 x 372 x 414 x 804 = 14376898757088

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.

291 : 1, 3, 97, 291

399 : 1, 3, 7, 19, 21, 57, 133, 399

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,399,372,414,804, is 3.

Now, the common factors can be found like this.

291:3x 97

399:3x 7x 19

372:2x 2x 3x 31

414:2x 3x 3x 23

804:2x 2x 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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 14376898757088/(3x216)

LCM = 14376898757088/648

LCM = 22186572156

Thus, we can understand that the LCM of 291,399,372,414,804 is 22186572156.

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

• LCM of 258, 214, 270, 726, 241
• LCM of 355, 155, 903, 100, 902
• LCM of 968, 318, 727, 541, 969
• LCM of 298, 890, 608, 371, 967
• LCM of 971, 770, 539, 407, 212

1. What is the LCM of 291, 399, 372, 414, 804?

Answer: LCM of 291, 399, 372, 414, 804 is 22186572156.

2. How to calculate the LCM of 291, 399, 372, 414, 804?

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 291, 399, 372, 414, 804.

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}.