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LCM of 772, 163, 517, 204, 517

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


Find the LCM of 772, 163, 517, 204, 517 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 772, 163, 517, 204, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,163,517,204,517

Given numbers are 772,163,517,204,517

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

The LCM of 772,163,517,204,517 is 3317917812.

Find LCM of 772,163,517,204,517 with Prime Factorization


2 772, 163, 517, 204, 517
2 386, 163, 517, 102, 517
11 193, 163, 517, 51, 517
47 193, 163, 47, 51, 47
193, 163, 1, 51, 1

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

2 x 2 x 11 x 47 x 193 x 163 x 1 x 51 x 1 = 3317917812

Therefore, the lowest common multiple of 772,163,517,204,517 is 3317917812.

LCM Formula to Find Lowest Common Multiple of 772,163,517,204,517

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.

772 x 163 x 517 x 204 x 517 = 6861454035216

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.

772 : 1, 2, 4, 193, 386, 772

163 : 1, 163

517 : 1, 11, 47, 517

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,163,517,204,517, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

163:163

517:11x 47

204:2x 2x 3x 17

517:11x 47

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 11x 47 = 2068

Therefore, the value for common factors is 2068.

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 = 6861454035216/(1x2068)

LCM = 6861454035216/2068

LCM = 3317917812

Thus, we can understand that the LCM of 772,163,517,204,517 is 3317917812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 163, 517, 204, 517

1. What is the LCM of 772, 163, 517, 204, 517?

Answer: LCM of 772, 163, 517, 204, 517 is 3317917812.

2. How to calculate the LCM of 772, 163, 517, 204, 517?

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 772, 163, 517, 204, 517.

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}.