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LCM of 704, 503, 752, 723

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


Find the LCM of 704, 503, 752, 723 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 704, 503, 752, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,503,752,723

Given numbers are 704,503,752,723

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

The LCM of 704,503,752,723 is 12033079872.

Find LCM of 704,503,752,723 with Prime Factorization


2 704, 503, 752, 723
2 352, 503, 376, 723
2 176, 503, 188, 723
2 88, 503, 94, 723
44, 503, 47, 723

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

2 x 2 x 2 x 2 x 44 x 503 x 47 x 723 = 12033079872

Therefore, the lowest common multiple of 704,503,752,723 is 12033079872.

LCM Formula to Find Lowest Common Multiple of 704,503,752,723

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.

704 x 503 x 752 x 723 = 192529277952

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

503 : 1, 503

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,503,752,723, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

503:503

752:2x 2x 2x 2x 47

723:3x 241

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 192529277952/(1x16)

LCM = 192529277952/16

LCM = 12033079872

Thus, we can understand that the LCM of 704,503,752,723 is 12033079872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 503, 752, 723

1. What is the LCM of 704, 503, 752, 723?

Answer: LCM of 704, 503, 752, 723 is 12033079872.

2. How to calculate the LCM of 704, 503, 752, 723?

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 704, 503, 752, 723.

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}.