Given numbers are 39,32,56,26,723

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

The LCM of 39,32,56,26,723 is 2105376.

Find LCM of 39,32,56,26,723 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 4 x 7 x 1 x 241 = 2105376

Therefore, the lowest common multiple of 39,32,56,26,723 is 2105376.

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.

39 x 32 x 56 x 26 x 723 = 1313754624

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.

39 : 1, 3, 13, 39

32 : 1, 2, 4, 8, 16, 32

56 : 1, 2, 4, 7, 8, 14, 28, 56

26 : 1, 2, 13, 26

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 39,32,56,26,723, is 1.

Now, the common factors can be found like this.

39:3x 13

32:2x 2x 2x 2x 2

56:2x 2x 2x 7

26:2x 13

723:3x 241

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 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 1313754624/(1x624)

LCM = 1313754624/624

LCM = 2105376

Thus, we can understand that the LCM of 39,32,56,26,723 is 2105376.

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

• LCM of 34, 53, 50, 14, 305
• LCM of 49, 61, 78, 39, 396
• LCM of 62, 89, 18, 50, 894
• LCM of 30, 68, 39, 16, 758
• LCM of 72, 13, 54, 43, 200

1. What is the LCM of 39, 32, 56, 26, 723?

Answer: LCM of 39, 32, 56, 26, 723 is 2105376.

2. How to calculate the LCM of 39, 32, 56, 26, 723?

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 39, 32, 56, 26, 723.

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}.