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LCM of 513, 817, 919, 209

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


Find the LCM of 513, 817, 919, 209 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, 817, 919, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 513,817,919,209

Given numbers are 513,817,919,209

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

The LCM of 513,817,919,209 is 222994431.

Find LCM of 513,817,919,209 with Prime Factorization


19 513, 817, 919, 209
27, 43, 919, 11

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

19 x 27 x 43 x 919 x 11 = 222994431

Therefore, the lowest common multiple of 513,817,919,209 is 222994431.

LCM Formula to Find Lowest Common Multiple of 513,817,919,209

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 817 x 919 x 209 = 80500989591

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

817 : 1, 19, 43, 817

919 : 1, 919

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,817,919,209, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

817:19x 43

919:919

209:11x 19

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 80500989591/(1x361)

LCM = 80500989591/361

LCM = 222994431

Thus, we can understand that the LCM of 513,817,919,209 is 222994431.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 513, 817, 919, 209

1. What is the LCM of 513, 817, 919, 209?

Answer: LCM of 513, 817, 919, 209 is 222994431.

2. How to calculate the LCM of 513, 817, 919, 209?

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, 817, 919, 209.

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}.