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LCM of 386, 816, 136, 563

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


Find the LCM of 386, 816, 136, 563 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 386, 816, 136, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,816,136,563

Given numbers are 386,816,136,563

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

The LCM of 386,816,136,563 is 88665744.

Find LCM of 386,816,136,563 with Prime Factorization


2 386, 816, 136, 563
2 193, 408, 68, 563
2 193, 204, 34, 563
17 193, 102, 17, 563
193, 6, 1, 563

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

2 x 2 x 2 x 17 x 193 x 6 x 1 x 563 = 88665744

Therefore, the lowest common multiple of 386,816,136,563 is 88665744.

LCM Formula to Find Lowest Common Multiple of 386,816,136,563

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.

386 x 816 x 136 x 563 = 24117082368

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.

386 : 1, 2, 193, 386

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,816,136,563, is 1.

Now, the common factors can be found like this.

386:2x 193

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

136:2x 2x 2x 17

563:563

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 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 24117082368/(1x272)

LCM = 24117082368/272

LCM = 88665744

Thus, we can understand that the LCM of 386,816,136,563 is 88665744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 816, 136, 563

1. What is the LCM of 386, 816, 136, 563?

Answer: LCM of 386, 816, 136, 563 is 88665744.

2. How to calculate the LCM of 386, 816, 136, 563?

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 386, 816, 136, 563.

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}.