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LCM of 799, 898, 282, 960

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


Find the LCM of 799, 898, 282, 960 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 799, 898, 282, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 799,898,282,960

Given numbers are 799,898,282,960

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

The LCM of 799,898,282,960 is 344400960.

Find LCM of 799,898,282,960 with Prime Factorization


2 799, 898, 282, 960
3 799, 449, 141, 480
47 799, 449, 47, 160
17, 449, 1, 160

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

2 x 3 x 47 x 17 x 449 x 1 x 160 = 344400960

Therefore, the lowest common multiple of 799,898,282,960 is 344400960.

LCM Formula to Find Lowest Common Multiple of 799,898,282,960

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.

799 x 898 x 282 x 960 = 194242141440

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.

799 : 1, 17, 47, 799

898 : 1, 2, 449, 898

282 : 1, 2, 3, 6, 47, 94, 141, 282

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,898,282,960, is 1.

Now, the common factors can be found like this.

799:17x 47

898:2x 449

282:2x 3x 47

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 47 = 564

Therefore, the value for common factors is 564.

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 = 194242141440/(1x564)

LCM = 194242141440/564

LCM = 344400960

Thus, we can understand that the LCM of 799,898,282,960 is 344400960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 799, 898, 282, 960

1. What is the LCM of 799, 898, 282, 960?

Answer: LCM of 799, 898, 282, 960 is 344400960.

2. How to calculate the LCM of 799, 898, 282, 960?

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 799, 898, 282, 960.

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}.