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LCM of 816, 596, 731, 634

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


Find the LCM of 816, 596, 731, 634 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 816, 596, 731, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,596,731,634

Given numbers are 816,596,731,634

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

The LCM of 816,596,731,634 is 1657311504.

Find LCM of 816,596,731,634 with Prime Factorization


2 816, 596, 731, 634
2 408, 298, 731, 317
17 204, 149, 731, 317
12, 149, 43, 317

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

2 x 2 x 17 x 12 x 149 x 43 x 317 = 1657311504

Therefore, the lowest common multiple of 816,596,731,634 is 1657311504.

LCM Formula to Find Lowest Common Multiple of 816,596,731,634

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.

816 x 596 x 731 x 634 = 225394364544

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

596 : 1, 2, 4, 149, 298, 596

731 : 1, 17, 43, 731

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,596,731,634, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

596:2x 2x 149

731:17x 43

634:2x 317

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 17 = 136

Therefore, the value for common factors is 136.

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 = 225394364544/(1x136)

LCM = 225394364544/136

LCM = 1657311504

Thus, we can understand that the LCM of 816,596,731,634 is 1657311504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 596, 731, 634

1. What is the LCM of 816, 596, 731, 634?

Answer: LCM of 816, 596, 731, 634 is 1657311504.

2. How to calculate the LCM of 816, 596, 731, 634?

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 816, 596, 731, 634.

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}.