Given numbers are 23,36,69,41,741

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

The LCM of 23,36,69,41,741 is 8385156.

Find LCM of 23,36,69,41,741 with Prime Factorization

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

3 x 23 x 1 x 12 x 1 x 41 x 247 = 8385156

Therefore, the lowest common multiple of 23,36,69,41,741 is 8385156.

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.

23 x 36 x 69 x 41 x 741 = 1735727292

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.

23 : 1, 23

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

69 : 1, 3, 23, 69

41 : 1, 41

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 23,36,69,41,741, is 1.

Now, the common factors can be found like this.

23:23

36:2x 2x 3x 3

69:3x 23

41:41

741:3x 13x 19

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 1735727292/(1x207)

LCM = 1735727292/207

LCM = 8385156

Thus, we can understand that the LCM of 23,36,69,41,741 is 8385156.

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

• LCM of 54, 33, 83, 92, 885
• LCM of 90, 15, 78, 54, 162
• LCM of 71, 31, 74, 12, 937
• LCM of 47, 28, 13, 90, 746
• LCM of 67, 47, 42, 70, 461

1. What is the LCM of 23, 36, 69, 41, 741?

Answer: LCM of 23, 36, 69, 41, 741 is 8385156.

2. How to calculate the LCM of 23, 36, 69, 41, 741?

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 23, 36, 69, 41, 741.

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}.