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LCM of 590, 209, 494, 240

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


Find the LCM of 590, 209, 494, 240 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 590, 209, 494, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,209,494,240

Given numbers are 590,209,494,240

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

The LCM of 590,209,494,240 is 38472720.

Find LCM of 590,209,494,240 with Prime Factorization


2 590, 209, 494, 240
5 295, 209, 247, 120
19 59, 209, 247, 24
59, 11, 13, 24

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

2 x 5 x 19 x 59 x 11 x 13 x 24 = 38472720

Therefore, the lowest common multiple of 590,209,494,240 is 38472720.

LCM Formula to Find Lowest Common Multiple of 590,209,494,240

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.

590 x 209 x 494 x 240 = 14619633600

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.

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

209 : 1, 11, 19, 209

494 : 1, 2, 13, 19, 26, 38, 247, 494

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,209,494,240, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

209:11x 19

494:2x 13x 19

240:2x 2x 2x 2x 3x 5

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

2x 2x 5x 19 = 380

Therefore, the value for common factors is 380.

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 = 14619633600/(1x380)

LCM = 14619633600/380

LCM = 38472720

Thus, we can understand that the LCM of 590,209,494,240 is 38472720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 209, 494, 240

1. What is the LCM of 590, 209, 494, 240?

Answer: LCM of 590, 209, 494, 240 is 38472720.

2. How to calculate the LCM of 590, 209, 494, 240?

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 590, 209, 494, 240.

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}.