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LCM of 361, 114, 646, 844

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


Find the LCM of 361, 114, 646, 844 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 361, 114, 646, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,114,646,844

Given numbers are 361,114,646,844

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

The LCM of 361,114,646,844 is 15538884.

Find LCM of 361,114,646,844 with Prime Factorization


2 361, 114, 646, 844
19 361, 57, 323, 422
19, 3, 17, 422

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

2 x 19 x 19 x 3 x 17 x 422 = 15538884

Therefore, the lowest common multiple of 361,114,646,844 is 15538884.

LCM Formula to Find Lowest Common Multiple of 361,114,646,844

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.

361 x 114 x 646 x 844 = 22438148496

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.

361 : 1, 19, 361

114 : 1, 2, 3, 6, 19, 38, 57, 114

646 : 1, 2, 17, 19, 34, 38, 323, 646

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,114,646,844, is 1.

Now, the common factors can be found like this.

361:19x 19

114:2x 3x 19

646:2x 17x 19

844:2x 2x 211

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 19x 19 = 1444

Therefore, the value for common factors is 1444.

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 = 22438148496/(1x1444)

LCM = 22438148496/1444

LCM = 15538884

Thus, we can understand that the LCM of 361,114,646,844 is 15538884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 114, 646, 844

1. What is the LCM of 361, 114, 646, 844?

Answer: LCM of 361, 114, 646, 844 is 15538884.

2. How to calculate the LCM of 361, 114, 646, 844?

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 361, 114, 646, 844.

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}.