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LCM of 409, 378, 384, 605, 587

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


Find the LCM of 409, 378, 384, 605, 587 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 409, 378, 384, 605, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,378,384,605,587

Given numbers are 409,378,384,605,587

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

The LCM of 409,378,384,605,587 is 3513893201280.

Find LCM of 409,378,384,605,587 with Prime Factorization


2 409, 378, 384, 605, 587
3 409, 189, 192, 605, 587
409, 63, 64, 605, 587

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

2 x 3 x 409 x 63 x 64 x 605 x 587 = 3513893201280

Therefore, the lowest common multiple of 409,378,384,605,587 is 3513893201280.

LCM Formula to Find Lowest Common Multiple of 409,378,384,605,587

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.

409 x 378 x 384 x 605 x 587 = 21083359207680

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.

409 : 1, 409

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

605 : 1, 5, 11, 55, 121, 605

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,378,384,605,587, is 1.

Now, the common factors can be found like this.

409:409

378:2x 3x 3x 3x 7

384:2x 2x 2x 2x 2x 2x 2x 3

605:5x 11x 11

587:587

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 21083359207680/(1x6)

LCM = 21083359207680/6

LCM = 3513893201280

Thus, we can understand that the LCM of 409,378,384,605,587 is 3513893201280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 378, 384, 605, 587

1. What is the LCM of 409, 378, 384, 605, 587?

Answer: LCM of 409, 378, 384, 605, 587 is 3513893201280.

2. How to calculate the LCM of 409, 378, 384, 605, 587?

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 409, 378, 384, 605, 587.

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}.