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LCM of 361, 249, 817, 590

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


Find the LCM of 361, 249, 817, 590 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 361, 249, 817, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,249,817,590

Given numbers are 361,249,817,590

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

The LCM of 361,249,817,590 is 2280483930.

Find LCM of 361,249,817,590 with Prime Factorization


19 361, 249, 817, 590
19, 249, 43, 590

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

19 x 19 x 249 x 43 x 590 = 2280483930

Therefore, the lowest common multiple of 361,249,817,590 is 2280483930.

LCM Formula to Find Lowest Common Multiple of 361,249,817,590

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.

361 x 249 x 817 x 590 = 43329194670

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.

361 : 1, 19, 361

249 : 1, 3, 83, 249

817 : 1, 19, 43, 817

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,249,817,590, is 1.

Now, the common factors can be found like this.

361:19x 19

249:3x 83

817:19x 43

590:2x 5x 59

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

19 = 19

Therefore, the value for common factors is 19.

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 = 43329194670/(1x19)

LCM = 43329194670/19

LCM = 2280483930

Thus, we can understand that the LCM of 361,249,817,590 is 2280483930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 249, 817, 590

1. What is the LCM of 361, 249, 817, 590?

Answer: LCM of 361, 249, 817, 590 is 2280483930.

2. How to calculate the LCM of 361, 249, 817, 590?

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 361, 249, 817, 590.

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}.