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LCM of 702, 815, 273, 541, 163

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


Find the LCM of 702, 815, 273, 541, 163 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 702, 815, 273, 541, 163. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,815,273,541,163

Given numbers are 702,815,273,541,163

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

The LCM of 702,815,273,541,163 is 2166656310.

Find LCM of 702,815,273,541,163 with Prime Factorization


3 702, 815, 273, 541, 163
13 234, 815, 91, 541, 163
163 18, 815, 7, 541, 163
18, 5, 7, 541, 1

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

3 x 13 x 163 x 18 x 5 x 7 x 541 x 1 = 2166656310

Therefore, the lowest common multiple of 702,815,273,541,163 is 2166656310.

LCM Formula to Find Lowest Common Multiple of 702,815,273,541,163

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.

702 x 815 x 273 x 541 x 163 = 13773434162670

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.

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

815 : 1, 5, 163, 815

273 : 1, 3, 7, 13, 21, 39, 91, 273

541 : 1, 541

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,815,273,541,163, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

815:5x 163

273:3x 7x 13

541:541

163:163

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

3x 13x 163 = 6357

Therefore, the value for common factors is 6357.

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 = 13773434162670/(1x6357)

LCM = 13773434162670/6357

LCM = 2166656310

Thus, we can understand that the LCM of 702,815,273,541,163 is 2166656310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 815, 273, 541, 163

1. What is the LCM of 702, 815, 273, 541, 163?

Answer: LCM of 702, 815, 273, 541, 163 is 2166656310.

2. How to calculate the LCM of 702, 815, 273, 541, 163?

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 702, 815, 273, 541, 163.

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}.