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LCM of 113, 181, 857, 422, 362

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


Find the LCM of 113, 181, 857, 422, 362 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 113, 181, 857, 422, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 113,181,857,422,362

Given numbers are 113,181,857,422,362

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

The LCM of 113,181,857,422,362 is 7396909262.

Find LCM of 113,181,857,422,362 with Prime Factorization


2 113, 181, 857, 422, 362
181 113, 181, 857, 211, 181
113, 1, 857, 211, 1

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

2 x 181 x 113 x 1 x 857 x 211 x 1 = 7396909262

Therefore, the lowest common multiple of 113,181,857,422,362 is 7396909262.

LCM Formula to Find Lowest Common Multiple of 113,181,857,422,362

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.

113 x 181 x 857 x 422 x 362 = 2677681152844

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.

113 : 1, 113

181 : 1, 181

857 : 1, 857

422 : 1, 2, 211, 422

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,181,857,422,362, is 1.

Now, the common factors can be found like this.

113:113

181:181

857:857

422:2x 211

362:2x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 181 = 362

Therefore, the value for common factors is 362.

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 = 2677681152844/(1x362)

LCM = 2677681152844/362

LCM = 7396909262

Thus, we can understand that the LCM of 113,181,857,422,362 is 7396909262.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 113, 181, 857, 422, 362

1. What is the LCM of 113, 181, 857, 422, 362?

Answer: LCM of 113, 181, 857, 422, 362 is 7396909262.

2. How to calculate the LCM of 113, 181, 857, 422, 362?

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 113, 181, 857, 422, 362.

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}.