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LCM of 513, 223, 713, 556, 446

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


Find the LCM of 513, 223, 713, 556, 446 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 513, 223, 713, 556, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,223,713,556,446

Given numbers are 513,223,713,556,446

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

The LCM of 513,223,713,556,446 is 45350966772.

Find LCM of 513,223,713,556,446 with Prime Factorization


2 513, 223, 713, 556, 446
223 513, 223, 713, 278, 223
513, 1, 713, 278, 1

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

2 x 223 x 513 x 1 x 713 x 278 x 1 = 45350966772

Therefore, the lowest common multiple of 513,223,713,556,446 is 45350966772.

LCM Formula to Find Lowest Common Multiple of 513,223,713,556,446

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.

513 x 223 x 713 x 556 x 446 = 20226531180312

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.

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

223 : 1, 223

713 : 1, 23, 31, 713

556 : 1, 2, 4, 139, 278, 556

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,223,713,556,446, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

223:223

713:23x 31

556:2x 2x 139

446:2x 223

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

2x 223 = 446

Therefore, the value for common factors is 446.

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 = 20226531180312/(1x446)

LCM = 20226531180312/446

LCM = 45350966772

Thus, we can understand that the LCM of 513,223,713,556,446 is 45350966772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 223, 713, 556, 446

1. What is the LCM of 513, 223, 713, 556, 446?

Answer: LCM of 513, 223, 713, 556, 446 is 45350966772.

2. How to calculate the LCM of 513, 223, 713, 556, 446?

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 513, 223, 713, 556, 446.

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}.