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LCM of 842, 273, 637, 713, 513

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


Find the LCM of 842, 273, 637, 713, 513 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 842, 273, 637, 713, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 842,273,637,713,513

Given numbers are 842,273,637,713,513

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

The LCM of 842,273,637,713,513 is 196181666226.

Find LCM of 842,273,637,713,513 with Prime Factorization


3 842, 273, 637, 713, 513
7 842, 91, 637, 713, 171
13 842, 13, 91, 713, 171
842, 1, 7, 713, 171

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

3 x 7 x 13 x 842 x 1 x 7 x 713 x 171 = 196181666226

Therefore, the lowest common multiple of 842,273,637,713,513 is 196181666226.

LCM Formula to Find Lowest Common Multiple of 842,273,637,713,513

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.

842 x 273 x 637 x 713 x 513 = 53557594879698

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.

842 : 1, 2, 421, 842

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

637 : 1, 7, 13, 49, 91, 637

713 : 1, 23, 31, 713

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,273,637,713,513, is 1.

Now, the common factors can be found like this.

842:2x 421

273:3x 7x 13

637:7x 7x 13

713:23x 31

513:3x 3x 3x 19

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

3x 7x 13 = 273

Therefore, the value for common factors is 273.

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 = 53557594879698/(1x273)

LCM = 53557594879698/273

LCM = 196181666226

Thus, we can understand that the LCM of 842,273,637,713,513 is 196181666226.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 842, 273, 637, 713, 513

1. What is the LCM of 842, 273, 637, 713, 513?

Answer: LCM of 842, 273, 637, 713, 513 is 196181666226.

2. How to calculate the LCM of 842, 273, 637, 713, 513?

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 842, 273, 637, 713, 513.

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}.