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LCM of 427, 205, 741, 923

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


Find the LCM of 427, 205, 741, 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 427, 205, 741, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,205,741,923

Given numbers are 427,205,741,923

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

The LCM of 427,205,741,923 is 4605303885.

Find LCM of 427,205,741,923 with Prime Factorization


13 427, 205, 741, 923
427, 205, 57, 71

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

13 x 427 x 205 x 57 x 71 = 4605303885

Therefore, the lowest common multiple of 427,205,741,923 is 4605303885.

LCM Formula to Find Lowest Common Multiple of 427,205,741,923

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.

427 x 205 x 741 x 923 = 59868950505

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.

427 : 1, 7, 61, 427

205 : 1, 5, 41, 205

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

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,205,741,923, is 1.

Now, the common factors can be found like this.

427:7x 61

205:5x 41

741:3x 13x 19

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 59868950505/(1x13)

LCM = 59868950505/13

LCM = 4605303885

Thus, we can understand that the LCM of 427,205,741,923 is 4605303885.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 205, 741, 923

1. What is the LCM of 427, 205, 741, 923?

Answer: LCM of 427, 205, 741, 923 is 4605303885.

2. How to calculate the LCM of 427, 205, 741, 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 427, 205, 741, 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}.