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LCM of 380, 353, 204, 368

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


Find the LCM of 380, 353, 204, 368 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 380, 353, 204, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,353,204,368

Given numbers are 380,353,204,368

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

The LCM of 380,353,204,368 is 629384880.

Find LCM of 380,353,204,368 with Prime Factorization


2 380, 353, 204, 368
2 190, 353, 102, 184
95, 353, 51, 92

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

2 x 2 x 95 x 353 x 51 x 92 = 629384880

Therefore, the lowest common multiple of 380,353,204,368 is 629384880.

LCM Formula to Find Lowest Common Multiple of 380,353,204,368

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.

380 x 353 x 204 x 368 = 10070158080

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

353 : 1, 353

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

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,353,204,368, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

353:353

204:2x 2x 3x 17

368:2x 2x 2x 2x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 10070158080/(1x16)

LCM = 10070158080/16

LCM = 629384880

Thus, we can understand that the LCM of 380,353,204,368 is 629384880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 353, 204, 368

1. What is the LCM of 380, 353, 204, 368?

Answer: LCM of 380, 353, 204, 368 is 629384880.

2. How to calculate the LCM of 380, 353, 204, 368?

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 380, 353, 204, 368.

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}.