Given numbers are 26,39,46,736

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

The LCM of 26,39,46,736 is 28704.

Find LCM of 26,39,46,736 with Prime Factorization

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

2 x 13 x 23 x 1 x 3 x 1 x 16 = 28704

Therefore, the lowest common multiple of 26,39,46,736 is 28704.

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.

26 x 39 x 46 x 736 = 34329984

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.

26 : 1, 2, 13, 26

39 : 1, 3, 13, 39

46 : 1, 2, 23, 46

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 26,39,46,736, is 1.

Now, the common factors can be found like this.

26:2x 13

39:3x 13

46:2x 23

736:2x 2x 2x 2x 2x 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 13x 23 = 1196

Therefore, the value for common factors is 1196.

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 = 34329984/(1x1196)

LCM = 34329984/1196

LCM = 28704

Thus, we can understand that the LCM of 26,39,46,736 is 28704.

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

• LCM of 29, 32, 16, 182
• LCM of 16, 81, 72, 188
• LCM of 21, 19, 92, 678
• LCM of 45, 96, 45, 574
• LCM of 35, 61, 39, 701

1. What is the LCM of 26, 39, 46, 736?

Answer: LCM of 26, 39, 46, 736 is 28704.

2. How to calculate the LCM of 26, 39, 46, 736?

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 26, 39, 46, 736.

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}.