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LCM of 748, 803, 793, 685

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


Find the LCM of 748, 803, 793, 685 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 748, 803, 793, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,803,793,685

Given numbers are 748,803,793,685

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

The LCM of 748,803,793,685 is 29661165820.

Find LCM of 748,803,793,685 with Prime Factorization


11 748, 803, 793, 685
68, 73, 793, 685

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

11 x 68 x 73 x 793 x 685 = 29661165820

Therefore, the lowest common multiple of 748,803,793,685 is 29661165820.

LCM Formula to Find Lowest Common Multiple of 748,803,793,685

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.

748 x 803 x 793 x 685 = 326272824020

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.

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

803 : 1, 11, 73, 803

793 : 1, 13, 61, 793

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,803,793,685, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

803:11x 73

793:13x 61

685:5x 137

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

11 = 11

Therefore, the value for common factors is 11.

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 = 326272824020/(1x11)

LCM = 326272824020/11

LCM = 29661165820

Thus, we can understand that the LCM of 748,803,793,685 is 29661165820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 803, 793, 685

1. What is the LCM of 748, 803, 793, 685?

Answer: LCM of 748, 803, 793, 685 is 29661165820.

2. How to calculate the LCM of 748, 803, 793, 685?

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 748, 803, 793, 685.

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}.