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LCM of 680, 528, 793, 806

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


Find the LCM of 680, 528, 793, 806 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 680, 528, 793, 806. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,528,793,806

Given numbers are 680,528,793,806

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

The LCM of 680,528,793,806 is 1103285040.

Find LCM of 680,528,793,806 with Prime Factorization


2 680, 528, 793, 806
2 340, 264, 793, 403
2 170, 132, 793, 403
13 85, 66, 793, 403
85, 66, 61, 31

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

2 x 2 x 2 x 13 x 85 x 66 x 61 x 31 = 1103285040

Therefore, the lowest common multiple of 680,528,793,806 is 1103285040.

LCM Formula to Find Lowest Common Multiple of 680,528,793,806

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.

680 x 528 x 793 x 806 = 229483288320

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

793 : 1, 13, 61, 793

806 : 1, 2, 13, 26, 31, 62, 403, 806

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,528,793,806, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

528:2x 2x 2x 2x 3x 11

793:13x 61

806:2x 13x 31

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 229483288320/(1x208)

LCM = 229483288320/208

LCM = 1103285040

Thus, we can understand that the LCM of 680,528,793,806 is 1103285040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 528, 793, 806

1. What is the LCM of 680, 528, 793, 806?

Answer: LCM of 680, 528, 793, 806 is 1103285040.

2. How to calculate the LCM of 680, 528, 793, 806?

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 680, 528, 793, 806.

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}.