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LCM of 516, 182, 353, 221

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


Find the LCM of 516, 182, 353, 221 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 516, 182, 353, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 516,182,353,221

Given numbers are 516,182,353,221

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

The LCM of 516,182,353,221 is 281782956.

Find LCM of 516,182,353,221 with Prime Factorization


2 516, 182, 353, 221
13 258, 91, 353, 221
258, 7, 353, 17

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

2 x 13 x 258 x 7 x 353 x 17 = 281782956

Therefore, the lowest common multiple of 516,182,353,221 is 281782956.

LCM Formula to Find Lowest Common Multiple of 516,182,353,221

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.

516 x 182 x 353 x 221 = 7326356856

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

182 : 1, 2, 7, 13, 14, 26, 91, 182

353 : 1, 353

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,182,353,221, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

182:2x 7x 13

353:353

221:13x 17

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 7326356856/(1x26)

LCM = 7326356856/26

LCM = 281782956

Thus, we can understand that the LCM of 516,182,353,221 is 281782956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 516, 182, 353, 221

1. What is the LCM of 516, 182, 353, 221?

Answer: LCM of 516, 182, 353, 221 is 281782956.

2. How to calculate the LCM of 516, 182, 353, 221?

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 516, 182, 353, 221.

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}.