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LCM of 688, 380, 600, 394

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


Find the LCM of 688, 380, 600, 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 688, 380, 600, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,380,600,394

Given numbers are 688,380,600,394

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

The LCM of 688,380,600,394 is 193138800.

Find LCM of 688,380,600,394 with Prime Factorization


2 688, 380, 600, 394
2 344, 190, 300, 197
2 172, 95, 150, 197
5 86, 95, 75, 197
86, 19, 15, 197

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

2 x 2 x 2 x 5 x 86 x 19 x 15 x 197 = 193138800

Therefore, the lowest common multiple of 688,380,600,394 is 193138800.

LCM Formula to Find Lowest Common Multiple of 688,380,600,394

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.

688 x 380 x 600 x 394 = 61804416000

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,380,600,394, is 2.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

380:2x 2x 5x 19

600:2x 2x 2x 3x 5x 5

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 61804416000/(2x160)

LCM = 61804416000/320

LCM = 193138800

Thus, we can understand that the LCM of 688,380,600,394 is 193138800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 380, 600, 394

1. What is the LCM of 688, 380, 600, 394?

Answer: LCM of 688, 380, 600, 394 is 193138800.

2. How to calculate the LCM of 688, 380, 600, 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 688, 380, 600, 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}.