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LCM of 715, 992, 748, 799

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


Find the LCM of 715, 992, 748, 799 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 715, 992, 748, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,992,748,799

Given numbers are 715,992,748,799

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

The LCM of 715,992,748,799 is 566714720.

Find LCM of 715,992,748,799 with Prime Factorization


2 715, 992, 748, 799
2 715, 496, 374, 799
11 715, 248, 187, 799
17 65, 248, 17, 799
65, 248, 1, 47

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

2 x 2 x 11 x 17 x 65 x 248 x 1 x 47 = 566714720

Therefore, the lowest common multiple of 715,992,748,799 is 566714720.

LCM Formula to Find Lowest Common Multiple of 715,992,748,799

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.

715 x 992 x 748 x 799 = 423902610560

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,992,748,799, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

992:2x 2x 2x 2x 2x 31

748:2x 2x 11x 17

799:17x 47

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 11x 17 = 748

Therefore, the value for common factors is 748.

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 = 423902610560/(1x748)

LCM = 423902610560/748

LCM = 566714720

Thus, we can understand that the LCM of 715,992,748,799 is 566714720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 992, 748, 799

1. What is the LCM of 715, 992, 748, 799?

Answer: LCM of 715, 992, 748, 799 is 566714720.

2. How to calculate the LCM of 715, 992, 748, 799?

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 715, 992, 748, 799.

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}.