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LCM of 493, 417, 995, 796

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


Find the LCM of 493, 417, 995, 796 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 493, 417, 995, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,417,995,796

Given numbers are 493,417,995,796

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

The LCM of 493,417,995,796 is 818212380.

Find LCM of 493,417,995,796 with Prime Factorization


199 493, 417, 995, 796
493, 417, 5, 4

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

199 x 493 x 417 x 5 x 4 = 818212380

Therefore, the lowest common multiple of 493,417,995,796 is 818212380.

LCM Formula to Find Lowest Common Multiple of 493,417,995,796

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.

493 x 417 x 995 x 796 = 162824263620

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.

493 : 1, 17, 29, 493

417 : 1, 3, 139, 417

995 : 1, 5, 199, 995

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,417,995,796, is 1.

Now, the common factors can be found like this.

493:17x 29

417:3x 139

995:5x 199

796:2x 2x 199

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

199 = 199

Therefore, the value for common factors is 199.

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 = 162824263620/(1x199)

LCM = 162824263620/199

LCM = 818212380

Thus, we can understand that the LCM of 493,417,995,796 is 818212380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 417, 995, 796

1. What is the LCM of 493, 417, 995, 796?

Answer: LCM of 493, 417, 995, 796 is 818212380.

2. How to calculate the LCM of 493, 417, 995, 796?

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 493, 417, 995, 796.

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}.