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LCM of 328, 821, 878, 694, 716

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


Find the LCM of 328, 821, 878, 694, 716 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 328, 821, 878, 694, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 328,821,878,694,716

Given numbers are 328,821,878,694,716

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

The LCM of 328,821,878,694,716 is 7342839353816.

Find LCM of 328,821,878,694,716 with Prime Factorization


2 328, 821, 878, 694, 716
2 164, 821, 439, 347, 358
82, 821, 439, 347, 179

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

2 x 2 x 82 x 821 x 439 x 347 x 179 = 7342839353816

Therefore, the lowest common multiple of 328,821,878,694,716 is 7342839353816.

LCM Formula to Find Lowest Common Multiple of 328,821,878,694,716

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.

328 x 821 x 878 x 694 x 716 = 117485429661056

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

821 : 1, 821

878 : 1, 2, 439, 878

694 : 1, 2, 347, 694

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,821,878,694,716, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

821:821

878:2x 439

694:2x 347

716:2x 2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 117485429661056/(1x16)

LCM = 117485429661056/16

LCM = 7342839353816

Thus, we can understand that the LCM of 328,821,878,694,716 is 7342839353816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 328, 821, 878, 694, 716

1. What is the LCM of 328, 821, 878, 694, 716?

Answer: LCM of 328, 821, 878, 694, 716 is 7342839353816.

2. How to calculate the LCM of 328, 821, 878, 694, 716?

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 328, 821, 878, 694, 716.

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}.