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LCM of 715, 810, 949, 768

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


Find the LCM of 715, 810, 949, 768 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, 810, 949, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,810,949,768

Given numbers are 715,810,949,768

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

The LCM of 715,810,949,768 is 1082315520.

Find LCM of 715,810,949,768 with Prime Factorization


2 715, 810, 949, 768
3 715, 405, 949, 384
5 715, 135, 949, 128
13 143, 27, 949, 128
11, 27, 73, 128

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

2 x 3 x 5 x 13 x 11 x 27 x 73 x 128 = 1082315520

Therefore, the lowest common multiple of 715,810,949,768 is 1082315520.

LCM Formula to Find Lowest Common Multiple of 715,810,949,768

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 810 x 949 x 768 = 422103052800

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

949 : 1, 13, 73, 949

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,810,949,768, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

810:2x 3x 3x 3x 3x 5

949:13x 73

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

2x 3x 5x 13 = 390

Therefore, the value for common factors is 390.

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 = 422103052800/(1x390)

LCM = 422103052800/390

LCM = 1082315520

Thus, we can understand that the LCM of 715,810,949,768 is 1082315520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 810, 949, 768

1. What is the LCM of 715, 810, 949, 768?

Answer: LCM of 715, 810, 949, 768 is 1082315520.

2. How to calculate the LCM of 715, 810, 949, 768?

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, 810, 949, 768.

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}.