Given numbers are 746,591,432,687

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

The LCM of 746,591,432,687 is 7269328368.

Find LCM of 746,591,432,687 with Prime Factorization

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

2 x 3 x 373 x 197 x 72 x 229 = 7269328368

Therefore, the lowest common multiple of 746,591,432,687 is 7269328368.

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.

746 x 591 x 432 x 687 = 130847910624

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.

746 : 1, 2, 373, 746

591 : 1, 3, 197, 591

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,591,432,687, is 1.

Now, the common factors can be found like this.

746:2x 373

591:3x 197

432:2x 2x 2x 2x 3x 3x 3

687:3x 229

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 130847910624/(1x18)

LCM = 130847910624/18

LCM = 7269328368

Thus, we can understand that the LCM of 746,591,432,687 is 7269328368.

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

• LCM of 839, 989, 974, 913
• LCM of 219, 380, 110, 736
• LCM of 445, 250, 105, 238
• LCM of 191, 262, 183, 445
• LCM of 804, 111, 409, 793

1. What is the LCM of 746, 591, 432, 687?

Answer: LCM of 746, 591, 432, 687 is 7269328368.

2. How to calculate the LCM of 746, 591, 432, 687?

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 746, 591, 432, 687.

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}.