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LCM of 923, 823, 778, 610

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


Find the LCM of 923, 823, 778, 610 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 923, 823, 778, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,823,778,610

Given numbers are 923,823,778,610

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

The LCM of 923,823,778,610 is 180252365410.

Find LCM of 923,823,778,610 with Prime Factorization


2 923, 823, 778, 610
923, 823, 389, 305

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

2 x 923 x 823 x 389 x 305 = 180252365410

Therefore, the lowest common multiple of 923,823,778,610 is 180252365410.

LCM Formula to Find Lowest Common Multiple of 923,823,778,610

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.

923 x 823 x 778 x 610 = 360504730820

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.

923 : 1, 13, 71, 923

823 : 1, 823

778 : 1, 2, 389, 778

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,823,778,610, is 1.

Now, the common factors can be found like this.

923:13x 71

823:823

778:2x 389

610:2x 5x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 360504730820/(1x2)

LCM = 360504730820/2

LCM = 180252365410

Thus, we can understand that the LCM of 923,823,778,610 is 180252365410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 823, 778, 610

1. What is the LCM of 923, 823, 778, 610?

Answer: LCM of 923, 823, 778, 610 is 180252365410.

2. How to calculate the LCM of 923, 823, 778, 610?

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 923, 823, 778, 610.

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}.