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LCM of 477, 578, 169, 923

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


Find the LCM of 477, 578, 169, 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 477, 578, 169, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 477,578,169,923

Given numbers are 477,578,169,923

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

The LCM of 477,578,169,923 is 3308196294.

Find LCM of 477,578,169,923 with Prime Factorization


13 477, 578, 169, 923
477, 578, 13, 71

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

13 x 477 x 578 x 13 x 71 = 3308196294

Therefore, the lowest common multiple of 477,578,169,923 is 3308196294.

LCM Formula to Find Lowest Common Multiple of 477,578,169,923

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.

477 x 578 x 169 x 923 = 43006551822

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.

477 : 1, 3, 9, 53, 159, 477

578 : 1, 2, 17, 34, 289, 578

169 : 1, 13, 169

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,578,169,923, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

578:2x 17x 17

169:13x 13

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 = 43006551822/(1x13)

LCM = 43006551822/13

LCM = 3308196294

Thus, we can understand that the LCM of 477,578,169,923 is 3308196294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 477, 578, 169, 923

1. What is the LCM of 477, 578, 169, 923?

Answer: LCM of 477, 578, 169, 923 is 3308196294.

2. How to calculate the LCM of 477, 578, 169, 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 477, 578, 169, 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}.