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LCM of 724, 923, 923, 521

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


Find the LCM of 724, 923, 923, 521 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 724, 923, 923, 521. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,923,923,521

Given numbers are 724,923,923,521

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

The LCM of 724,923,923,521 is 348159292.

Find LCM of 724,923,923,521 with Prime Factorization


13 724, 923, 923, 521
71 724, 71, 71, 521
724, 1, 1, 521

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

13 x 71 x 724 x 1 x 1 x 521 = 348159292

Therefore, the lowest common multiple of 724,923,923,521 is 348159292.

LCM Formula to Find Lowest Common Multiple of 724,923,923,521

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.

724 x 923 x 923 x 521 = 321351026516

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.

724 : 1, 2, 4, 181, 362, 724

923 : 1, 13, 71, 923

923 : 1, 13, 71, 923

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,923,923,521, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

923:13x 71

923:13x 71

521:521

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

13x 71 = 923

Therefore, the value for common factors is 923.

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 = 321351026516/(1x923)

LCM = 321351026516/923

LCM = 348159292

Thus, we can understand that the LCM of 724,923,923,521 is 348159292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 724, 923, 923, 521

1. What is the LCM of 724, 923, 923, 521?

Answer: LCM of 724, 923, 923, 521 is 348159292.

2. How to calculate the LCM of 724, 923, 923, 521?

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 724, 923, 923, 521.

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}.