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LCM of 351, 288, 420, 204, 535

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


Find the LCM of 351, 288, 420, 204, 535 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 351, 288, 420, 204, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,288,420,204,535

Given numbers are 351,288,420,204,535

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

The LCM of 351,288,420,204,535 is 715085280.

Find LCM of 351,288,420,204,535 with Prime Factorization


2 351, 288, 420, 204, 535
2 351, 144, 210, 102, 535
3 351, 72, 105, 51, 535
3 117, 24, 35, 17, 535
5 39, 8, 35, 17, 535
39, 8, 7, 17, 107

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

2 x 2 x 3 x 3 x 5 x 39 x 8 x 7 x 17 x 107 = 715085280

Therefore, the lowest common multiple of 351,288,420,204,535 is 715085280.

LCM Formula to Find Lowest Common Multiple of 351,288,420,204,535

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.

351 x 288 x 420 x 204 x 535 = 4633752614400

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,288,420,204,535, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

288:2x 2x 2x 2x 2x 3x 3

420:2x 2x 3x 5x 7

204:2x 2x 3x 17

535:5x 107

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 2x 2x 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 4633752614400/(1x6480)

LCM = 4633752614400/6480

LCM = 715085280

Thus, we can understand that the LCM of 351,288,420,204,535 is 715085280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 288, 420, 204, 535

1. What is the LCM of 351, 288, 420, 204, 535?

Answer: LCM of 351, 288, 420, 204, 535 is 715085280.

2. How to calculate the LCM of 351, 288, 420, 204, 535?

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 351, 288, 420, 204, 535.

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}.