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LCM of 497, 245, 835, 923

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


Find the LCM of 497, 245, 835, 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 497, 245, 835, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,245,835,923

Given numbers are 497,245,835,923

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

The LCM of 497,245,835,923 is 37764545.

Find LCM of 497,245,835,923 with Prime Factorization


5 497, 245, 835, 923
7 497, 49, 167, 923
71 71, 7, 167, 923
1, 7, 167, 13

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

5 x 7 x 71 x 1 x 7 x 167 x 13 = 37764545

Therefore, the lowest common multiple of 497,245,835,923 is 37764545.

LCM Formula to Find Lowest Common Multiple of 497,245,835,923

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.

497 x 245 x 835 x 923 = 93844894325

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.

497 : 1, 7, 71, 497

245 : 1, 5, 7, 35, 49, 245

835 : 1, 5, 167, 835

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,245,835,923, is 1.

Now, the common factors can be found like this.

497:7x 71

245:5x 7x 7

835:5x 167

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.

5x 7x 71 = 2485

Therefore, the value for common factors is 2485.

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 = 93844894325/(1x2485)

LCM = 93844894325/2485

LCM = 37764545

Thus, we can understand that the LCM of 497,245,835,923 is 37764545.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 245, 835, 923

1. What is the LCM of 497, 245, 835, 923?

Answer: LCM of 497, 245, 835, 923 is 37764545.

2. How to calculate the LCM of 497, 245, 835, 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 497, 245, 835, 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}.