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LCM of 366, 667, 526, 923, 104

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 366, 667, 526, 923, 104 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 366, 667, 526, 923, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 366,667,526,923,104

Given numbers are 366,667,526,923,104

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

The LCM of 366,667,526,923,104 is 237041485512.

Find LCM of 366,667,526,923,104 with Prime Factorization


2 366, 667, 526, 923, 104
13 183, 667, 263, 923, 52
183, 667, 263, 71, 4

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

2 x 13 x 183 x 667 x 263 x 71 x 4 = 237041485512

Therefore, the lowest common multiple of 366,667,526,923,104 is 237041485512.

LCM Formula to Find Lowest Common Multiple of 366,667,526,923,104

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.

366 x 667 x 526 x 923 x 104 = 12326157246624

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

667 : 1, 23, 29, 667

526 : 1, 2, 263, 526

923 : 1, 13, 71, 923

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,667,526,923,104, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

667:23x 29

526:2x 263

923:13x 71

104:2x 2x 2x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 12326157246624/(1x52)

LCM = 12326157246624/52

LCM = 237041485512

Thus, we can understand that the LCM of 366,667,526,923,104 is 237041485512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 366, 667, 526, 923, 104

1. What is the LCM of 366, 667, 526, 923, 104?

Answer: LCM of 366, 667, 526, 923, 104 is 237041485512.

2. How to calculate the LCM of 366, 667, 526, 923, 104?

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 366, 667, 526, 923, 104.

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}.