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LCM of 995, 702, 481, 185, 243

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


Find the LCM of 995, 702, 481, 185, 243 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 995, 702, 481, 185, 243. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 995,702,481,185,243

Given numbers are 995,702,481,185,243

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

The LCM of 995,702,481,185,243 is 232597170.

Find LCM of 995,702,481,185,243 with Prime Factorization


3 995, 702, 481, 185, 243
3 995, 234, 481, 185, 81
3 995, 78, 481, 185, 27
5 995, 26, 481, 185, 9
13 199, 26, 481, 37, 9
37 199, 2, 37, 37, 9
199, 2, 1, 1, 9

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

3 x 3 x 3 x 5 x 13 x 37 x 199 x 2 x 1 x 1 x 9 = 232597170

Therefore, the lowest common multiple of 995,702,481,185,243 is 232597170.

LCM Formula to Find Lowest Common Multiple of 995,702,481,185,243

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.

995 x 702 x 481 x 185 x 243 = 15103697233950

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.

995 : 1, 5, 199, 995

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

481 : 1, 13, 37, 481

185 : 1, 5, 37, 185

243 : 1, 3, 9, 27, 81, 243

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,702,481,185,243, is 1.

Now, the common factors can be found like this.

995:5x 199

702:2x 3x 3x 3x 13

481:13x 37

185:5x 37

243:3x 3x 3x 3x 3

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

3x 3x 3x 5x 13x 37 = 64935

Therefore, the value for common factors is 64935.

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 = 15103697233950/(1x64935)

LCM = 15103697233950/64935

LCM = 232597170

Thus, we can understand that the LCM of 995,702,481,185,243 is 232597170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 995, 702, 481, 185, 243

1. What is the LCM of 995, 702, 481, 185, 243?

Answer: LCM of 995, 702, 481, 185, 243 is 232597170.

2. How to calculate the LCM of 995, 702, 481, 185, 243?

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 995, 702, 481, 185, 243.

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}.