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LCM of 690, 311, 965, 923

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


Find the LCM of 690, 311, 965, 923 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 690, 311, 965, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 690,311,965,923

Given numbers are 690,311,965,923

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

The LCM of 690,311,965,923 is 38226848010.

Find LCM of 690,311,965,923 with Prime Factorization


5 690, 311, 965, 923
138, 311, 193, 923

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

5 x 138 x 311 x 193 x 923 = 38226848010

Therefore, the lowest common multiple of 690,311,965,923 is 38226848010.

LCM Formula to Find Lowest Common Multiple of 690,311,965,923

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.

690 x 311 x 965 x 923 = 191134240050

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

311 : 1, 311

965 : 1, 5, 193, 965

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,311,965,923, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

311:311

965:5x 193

923:13x 71

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

5 = 5

Therefore, the value for common factors is 5.

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 = 191134240050/(1x5)

LCM = 191134240050/5

LCM = 38226848010

Thus, we can understand that the LCM of 690,311,965,923 is 38226848010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 690, 311, 965, 923

1. What is the LCM of 690, 311, 965, 923?

Answer: LCM of 690, 311, 965, 923 is 38226848010.

2. How to calculate the LCM of 690, 311, 965, 923?

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 690, 311, 965, 923.

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}.