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LCM of 179, 793, 695, 494

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


Find the LCM of 179, 793, 695, 494 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 179, 793, 695, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 179,793,695,494

Given numbers are 179,793,695,494

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

The LCM of 179,793,695,494 is 3748820270.

Find LCM of 179,793,695,494 with Prime Factorization


13 179, 793, 695, 494
179, 61, 695, 38

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

13 x 179 x 61 x 695 x 38 = 3748820270

Therefore, the lowest common multiple of 179,793,695,494 is 3748820270.

LCM Formula to Find Lowest Common Multiple of 179,793,695,494

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.

179 x 793 x 695 x 494 = 48734663510

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.

179 : 1, 179

793 : 1, 13, 61, 793

695 : 1, 5, 139, 695

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,793,695,494, is 1.

Now, the common factors can be found like this.

179:179

793:13x 61

695:5x 139

494:2x 13x 19

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

13 = 13

Therefore, the value for common factors is 13.

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 = 48734663510/(1x13)

LCM = 48734663510/13

LCM = 3748820270

Thus, we can understand that the LCM of 179,793,695,494 is 3748820270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 179, 793, 695, 494

1. What is the LCM of 179, 793, 695, 494?

Answer: LCM of 179, 793, 695, 494 is 3748820270.

2. How to calculate the LCM of 179, 793, 695, 494?

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 179, 793, 695, 494.

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}.