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LCM of 480, 446, 683, 798

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


Find the LCM of 480, 446, 683, 798 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 480, 446, 683, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,446,683,798

Given numbers are 480,446,683,798

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

The LCM of 480,446,683,798 is 9723406560.

Find LCM of 480,446,683,798 with Prime Factorization


2 480, 446, 683, 798
3 240, 223, 683, 399
80, 223, 683, 133

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

2 x 3 x 80 x 223 x 683 x 133 = 9723406560

Therefore, the lowest common multiple of 480,446,683,798 is 9723406560.

LCM Formula to Find Lowest Common Multiple of 480,446,683,798

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.

480 x 446 x 683 x 798 = 116680878720

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.

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

446 : 1, 2, 223, 446

683 : 1, 683

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,446,683,798, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

446:2x 223

683:683

798:2x 3x 7x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 116680878720/(1x12)

LCM = 116680878720/12

LCM = 9723406560

Thus, we can understand that the LCM of 480,446,683,798 is 9723406560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 480, 446, 683, 798

1. What is the LCM of 480, 446, 683, 798?

Answer: LCM of 480, 446, 683, 798 is 9723406560.

2. How to calculate the LCM of 480, 446, 683, 798?

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 480, 446, 683, 798.

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}.