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LCM of 394, 768, 187, 117, 394

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


Find the LCM of 394, 768, 187, 117, 394 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 394, 768, 187, 117, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,768,187,117,394

Given numbers are 394,768,187,117,394

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

The LCM of 394,768,187,117,394 is 1103401728.

Find LCM of 394,768,187,117,394 with Prime Factorization


2 394, 768, 187, 117, 394
3 197, 384, 187, 117, 197
197 197, 128, 187, 39, 197
1, 128, 187, 39, 1

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

2 x 3 x 197 x 1 x 128 x 187 x 39 x 1 = 1103401728

Therefore, the lowest common multiple of 394,768,187,117,394 is 1103401728.

LCM Formula to Find Lowest Common Multiple of 394,768,187,117,394

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.

394 x 768 x 187 x 117 x 394 = 2608441684992

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.

394 : 1, 2, 197, 394

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

187 : 1, 11, 17, 187

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

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,768,187,117,394, is 1.

Now, the common factors can be found like this.

394:2x 197

768:2x 2x 2x 2x 2x 2x 2x 2x 3

187:11x 17

117:3x 3x 13

394:2x 197

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 3x 197 = 2364

Therefore, the value for common factors is 2364.

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 = 2608441684992/(1x2364)

LCM = 2608441684992/2364

LCM = 1103401728

Thus, we can understand that the LCM of 394,768,187,117,394 is 1103401728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 768, 187, 117, 394

1. What is the LCM of 394, 768, 187, 117, 394?

Answer: LCM of 394, 768, 187, 117, 394 is 1103401728.

2. How to calculate the LCM of 394, 768, 187, 117, 394?

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 394, 768, 187, 117, 394.

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}.