Given numbers are 407,291,798,528,334

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

The LCM of 407,291,798,528,334 is 42089667312.

Find LCM of 407,291,798,528,334 with Prime Factorization

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

2 x 3 x 11 x 37 x 97 x 133 x 8 x 167 = 42089667312

Therefore, the lowest common multiple of 407,291,798,528,334 is 42089667312.

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.

407 x 291 x 798 x 528 x 334 = 16667508255552

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.

407 : 1, 11, 37, 407

291 : 1, 3, 97, 291

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

334 : 1, 2, 167, 334

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,291,798,528,334, is 1.

Now, the common factors can be found like this.

407:11x 37

291:3x 97

798:2x 3x 7x 19

528:2x 2x 2x 2x 3x 11

334:2x 167

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 11 = 396

Therefore, the value for common factors is 396.

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 = 16667508255552/(1x396)

LCM = 16667508255552/396

LCM = 42089667312

Thus, we can understand that the LCM of 407,291,798,528,334 is 42089667312.

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

• LCM of 471, 107, 370, 273, 681
• LCM of 400, 654, 453, 625, 269
• LCM of 296, 737, 159, 442, 105
• LCM of 132, 748, 760, 413, 690
• LCM of 178, 799, 722, 995, 182

1. What is the LCM of 407, 291, 798, 528, 334?

Answer: LCM of 407, 291, 798, 528, 334 is 42089667312.

2. How to calculate the LCM of 407, 291, 798, 528, 334?

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 407, 291, 798, 528, 334.

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}.