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LCM of 511, 143, 774, 923

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


Find the LCM of 511, 143, 774, 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 511, 143, 774, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 511,143,774,923

Given numbers are 511,143,774,923

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

The LCM of 511,143,774,923 is 4015653642.

Find LCM of 511,143,774,923 with Prime Factorization


13 511, 143, 774, 923
511, 11, 774, 71

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

13 x 511 x 11 x 774 x 71 = 4015653642

Therefore, the lowest common multiple of 511,143,774,923 is 4015653642.

LCM Formula to Find Lowest Common Multiple of 511,143,774,923

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.

511 x 143 x 774 x 923 = 52203497346

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.

511 : 1, 7, 73, 511

143 : 1, 11, 13, 143

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,143,774,923, is 1.

Now, the common factors can be found like this.

511:7x 73

143:11x 13

774:2x 3x 3x 43

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 = 52203497346/(1x13)

LCM = 52203497346/13

LCM = 4015653642

Thus, we can understand that the LCM of 511,143,774,923 is 4015653642.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 511, 143, 774, 923

1. What is the LCM of 511, 143, 774, 923?

Answer: LCM of 511, 143, 774, 923 is 4015653642.

2. How to calculate the LCM of 511, 143, 774, 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 511, 143, 774, 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}.