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LCM of 116, 378, 816, 496, 238

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


Find the LCM of 116, 378, 816, 496, 238 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 116, 378, 816, 496, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,378,816,496,238

Given numbers are 116,378,816,496,238

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

The LCM of 116,378,816,496,238 is 46215792.

Find LCM of 116,378,816,496,238 with Prime Factorization


2 116, 378, 816, 496, 238
2 58, 189, 408, 248, 119
2 29, 189, 204, 124, 119
2 29, 189, 102, 62, 119
3 29, 189, 51, 31, 119
7 29, 63, 17, 31, 119
17 29, 9, 17, 31, 17
29, 9, 1, 31, 1

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

2 x 2 x 2 x 2 x 3 x 7 x 17 x 29 x 9 x 1 x 31 x 1 = 46215792

Therefore, the lowest common multiple of 116,378,816,496,238 is 46215792.

LCM Formula to Find Lowest Common Multiple of 116,378,816,496,238

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.

116 x 378 x 816 x 496 x 238 = 4223753662464

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.

116 : 1, 2, 4, 29, 58, 116

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

238 : 1, 2, 7, 14, 17, 34, 119, 238

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,378,816,496,238, is 2.

Now, the common factors can be found like this.

116:2x 2x 29

378:2x 3x 3x 3x 7

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

496:2x 2x 2x 2x 31

238:2x 7x 17

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 2x 2x 2x 3x 7x 17 = 45696

Therefore, the value for common factors is 45696.

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 = 4223753662464/(2x45696)

LCM = 4223753662464/91392

LCM = 46215792

Thus, we can understand that the LCM of 116,378,816,496,238 is 46215792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 378, 816, 496, 238

1. What is the LCM of 116, 378, 816, 496, 238?

Answer: LCM of 116, 378, 816, 496, 238 is 46215792.

2. How to calculate the LCM of 116, 378, 816, 496, 238?

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 116, 378, 816, 496, 238.

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}.